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Finding the Fourth Proportional to 130,568.52, 180,191.82 and 73,998.12

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Solution

The fourth proportional to 130,568.52, 180,191.82 and 73,998.12 is: 102,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,568.52 : 180,191.82 = 73,998.12 : x
  2. Step 2: Convert to fraction form
    130,568.52/180,191.82 = 73,998.12/x
  3. Step 3: Cross multiply
    130,568.52x = 180,191.82 × 73,998.12
  4. Step 4: Simplify right side
    130,568.52x = 13,333,855,919.38
  5. Step 5: Solve for x
    x = 13,333,855,919.38/130,568.52
  6. Step 6: Final answer
    x = 102,121.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.