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Finding the Fourth Proportional to 130,966.38, 180,755.35 and 77,264.60

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Solution

The fourth proportional to 130,966.38, 180,755.35 and 77,264.60 is: 106,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,966.38 : 180,755.35 = 77,264.60 : x
  2. Step 2: Convert to fraction form
    130,966.38/180,755.35 = 77,264.60/x
  3. Step 3: Cross multiply
    130,966.38x = 180,755.35 × 77,264.60
  4. Step 4: Simplify right side
    130,966.38x = 13,965,988,718.67
  5. Step 5: Solve for x
    x = 13,965,988,718.67/130,966.38
  6. Step 6: Final answer
    x = 106,637.97

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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.