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Finding the Fourth Proportional to 78,134.47, 117,204.94 and 22,730.47

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Solution

The fourth proportional to 78,134.47, 117,204.94 and 22,730.47 is: 34,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.47 : 117,204.94 = 22,730.47 : x
  2. Step 2: Convert to fraction form
    78,134.47/117,204.94 = 22,730.47/x
  3. Step 3: Cross multiply
    78,134.47x = 117,204.94 × 22,730.47
  4. Step 4: Simplify right side
    78,134.47x = 2,664,123,372.52
  5. Step 5: Solve for x
    x = 2,664,123,372.52/78,134.47
  6. Step 6: Final answer
    x = 34,096.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.