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Finding the Fourth Proportional to 153,003.40, 229,505.10 and 137,451.40

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Solution

The fourth proportional to 153,003.40, 229,505.10 and 137,451.40 is: 206,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,003.40 : 229,505.10 = 137,451.40 : x
  2. Step 2: Convert to fraction form
    153,003.40/229,505.10 = 137,451.40/x
  3. Step 3: Cross multiply
    153,003.40x = 229,505.10 × 137,451.40
  4. Step 4: Simplify right side
    153,003.40x = 31,545,797,302.14
  5. Step 5: Solve for x
    x = 31,545,797,302.14/153,003.40
  6. Step 6: Final answer
    x = 206,177.10

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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.