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Finding the Fourth Proportional to 142,802.10, 214,203.15 and 72,818.10

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Solution

The fourth proportional to 142,802.10, 214,203.15 and 72,818.10 is: 109,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,802.10 : 214,203.15 = 72,818.10 : x
  2. Step 2: Convert to fraction form
    142,802.10/214,203.15 = 72,818.10/x
  3. Step 3: Cross multiply
    142,802.10x = 214,203.15 × 72,818.10
  4. Step 4: Simplify right side
    142,802.10x = 15,597,866,397.02
  5. Step 5: Solve for x
    x = 15,597,866,397.02/142,802.10
  6. Step 6: Final answer
    x = 109,227.15

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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.