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Finding the Fourth Proportional to 128,966.31, 177,965.46 and 71,602.29

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Solution

The fourth proportional to 128,966.31, 177,965.46 and 71,602.29 is: 98,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,966.31 : 177,965.46 = 71,602.29 : x
  2. Step 2: Convert to fraction form
    128,966.31/177,965.46 = 71,602.29/x
  3. Step 3: Cross multiply
    128,966.31x = 177,965.46 × 71,602.29
  4. Step 4: Simplify right side
    128,966.31x = 12,742,734,476.90
  5. Step 5: Solve for x
    x = 12,742,734,476.90/128,966.31
  6. Step 6: Final answer
    x = 98,806.69

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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.