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Finding the Fourth Proportional to 142,006.76, 195,934.38 and 86,802.14

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Solution

The fourth proportional to 142,006.76, 195,934.38 and 86,802.14 is: 119,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006.76 : 195,934.38 = 86,802.14 : x
  2. Step 2: Convert to fraction form
    142,006.76/195,934.38 = 86,802.14/x
  3. Step 3: Cross multiply
    142,006.76x = 195,934.38 × 86,802.14
  4. Step 4: Simplify right side
    142,006.76x = 17,007,523,483.57
  5. Step 5: Solve for x
    x = 17,007,523,483.57/142,006.76
  6. Step 6: Final answer
    x = 119,765.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.