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Finding the Fourth Proportional to 130,830.72, 180,499.14 and 74,209.29

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Solution

The fourth proportional to 130,830.72, 180,499.14 and 74,209.29 is: 102,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,830.72 : 180,499.14 = 74,209.29 : x
  2. Step 2: Convert to fraction form
    130,830.72/180,499.14 = 74,209.29/x
  3. Step 3: Cross multiply
    130,830.72x = 180,499.14 × 74,209.29
  4. Step 4: Simplify right side
    130,830.72x = 13,394,713,025.01
  5. Step 5: Solve for x
    x = 13,394,713,025.01/130,830.72
  6. Step 6: Final answer
    x = 102,382.02

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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.