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Finding the Fourth Proportional to 130,508.38, 180,127.47 and 85,193.74

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Solution

The fourth proportional to 130,508.38, 180,127.47 and 85,193.74 is: 117,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,508.38 : 180,127.47 = 85,193.74 : x
  2. Step 2: Convert to fraction form
    130,508.38/180,127.47 = 85,193.74/x
  3. Step 3: Cross multiply
    130,508.38x = 180,127.47 × 85,193.74
  4. Step 4: Simplify right side
    130,508.38x = 15,345,732,846.04
  5. Step 5: Solve for x
    x = 15,345,732,846.04/130,508.38
  6. Step 6: Final answer
    x = 117,584.27

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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.