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Finding the Fourth Proportional to 193,643.40, 290,465.10 and 81,450.30

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Solution

The fourth proportional to 193,643.40, 290,465.10 and 81,450.30 is: 122,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.40 : 290,465.10 = 81,450.30 : x
  2. Step 2: Convert to fraction form
    193,643.40/290,465.10 = 81,450.30/x
  3. Step 3: Cross multiply
    193,643.40x = 290,465.10 × 81,450.30
  4. Step 4: Simplify right side
    193,643.40x = 23,658,469,534.53
  5. Step 5: Solve for x
    x = 23,658,469,534.53/193,643.40
  6. Step 6: Final answer
    x = 122,175.45

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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.