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Finding the Fourth Proportional to 130,477.97, 180,147.31 and 81,494.24

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Solution

The fourth proportional to 130,477.97, 180,147.31 and 81,494.24 is: 112,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.97 : 180,147.31 = 81,494.24 : x
  2. Step 2: Convert to fraction form
    130,477.97/180,147.31 = 81,494.24/x
  3. Step 3: Cross multiply
    130,477.97x = 180,147.31 × 81,494.24
  4. Step 4: Simplify right side
    130,477.97x = 14,680,967,012.02
  5. Step 5: Solve for x
    x = 14,680,967,012.02/130,477.97
  6. Step 6: Final answer
    x = 112,516.82

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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.