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Finding the Fourth Proportional to 130,998.25, 180,777.59 and 71,382.25

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Solution

The fourth proportional to 130,998.25, 180,777.59 and 71,382.25 is: 98,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,998.25 : 180,777.59 = 71,382.25 : x
  2. Step 2: Convert to fraction form
    130,998.25/180,777.59 = 71,382.25/x
  3. Step 3: Cross multiply
    130,998.25x = 180,777.59 × 71,382.25
  4. Step 4: Simplify right side
    130,998.25x = 12,904,311,123.78
  5. Step 5: Solve for x
    x = 12,904,311,123.78/130,998.25
  6. Step 6: Final answer
    x = 98,507.51

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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.