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Finding the Fourth Proportional to 130,585.87, 180,296.43 and 81,601.86

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Solution

The fourth proportional to 130,585.87, 180,296.43 and 81,601.86 is: 112,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,585.87 : 180,296.43 = 81,601.86 : x
  2. Step 2: Convert to fraction form
    130,585.87/180,296.43 = 81,601.86/x
  3. Step 3: Cross multiply
    130,585.87x = 180,296.43 × 81,601.86
  4. Step 4: Simplify right side
    130,585.87x = 14,712,523,347.22
  5. Step 5: Solve for x
    x = 14,712,523,347.22/130,585.87
  6. Step 6: Final answer
    x = 112,665.51

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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.