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Finding the Fourth Proportional to 142,382.68, 213,571.14 and 42,543.16

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Solution

The fourth proportional to 142,382.68, 213,571.14 and 42,543.16 is: 63,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.68 : 213,571.14 = 42,543.16 : x
  2. Step 2: Convert to fraction form
    142,382.68/213,571.14 = 42,543.16/x
  3. Step 3: Cross multiply
    142,382.68x = 213,571.14 × 42,543.16
  4. Step 4: Simplify right side
    142,382.68x = 9,085,991,180.40
  5. Step 5: Solve for x
    x = 9,085,991,180.40/142,382.68
  6. Step 6: Final answer
    x = 63,813.88

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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.