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Finding the Fourth Proportional to 193,651.40, 290,477.10 and 146,995.40

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Solution

The fourth proportional to 193,651.40, 290,477.10 and 146,995.40 is: 220,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,651.40 : 290,477.10 = 146,995.40 : x
  2. Step 2: Convert to fraction form
    193,651.40/290,477.10 = 146,995.40/x
  3. Step 3: Cross multiply
    193,651.40x = 290,477.10 × 146,995.40
  4. Step 4: Simplify right side
    193,651.40x = 42,698,797,505.34
  5. Step 5: Solve for x
    x = 42,698,797,505.34/193,651.40
  6. Step 6: Final answer
    x = 220,493.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.