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Finding the Fourth Proportional to 130,729.47, 180,403.16 and 74,139.63

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Solution

The fourth proportional to 130,729.47, 180,403.16 and 74,139.63 is: 102,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,729.47 : 180,403.16 = 74,139.63 : x
  2. Step 2: Convert to fraction form
    130,729.47/180,403.16 = 74,139.63/x
  3. Step 3: Cross multiply
    130,729.47x = 180,403.16 × 74,139.63
  4. Step 4: Simplify right side
    130,729.47x = 13,375,022,631.22
  5. Step 5: Solve for x
    x = 13,375,022,631.22/130,729.47
  6. Step 6: Final answer
    x = 102,310.70

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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.