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Finding the Fourth Proportional to 130,684.59, 180,317.24 and 85,428.88

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Solution

The fourth proportional to 130,684.59, 180,317.24 and 85,428.88 is: 117,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684.59 : 180,317.24 = 85,428.88 : x
  2. Step 2: Convert to fraction form
    130,684.59/180,317.24 = 85,428.88/x
  3. Step 3: Cross multiply
    130,684.59x = 180,317.24 × 85,428.88
  4. Step 4: Simplify right side
    130,684.59x = 15,404,299,300.31
  5. Step 5: Solve for x
    x = 15,404,299,300.31/130,684.59
  6. Step 6: Final answer
    x = 117,873.88

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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.