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Finding the Fourth Proportional to 142,160.84, 213,287.40 and 42,321.90

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Solution

The fourth proportional to 142,160.84, 213,287.40 and 42,321.90 is: 63,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160.84 : 213,287.40 = 42,321.90 : x
  2. Step 2: Convert to fraction form
    142,160.84/213,287.40 = 42,321.90/x
  3. Step 3: Cross multiply
    142,160.84x = 213,287.40 × 42,321.90
  4. Step 4: Simplify right side
    142,160.84x = 9,026,727,614.15
  5. Step 5: Solve for x
    x = 9,026,727,614.15/142,160.84
  6. Step 6: Final answer
    x = 63,496.58

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