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Finding the Fourth Proportional to 138,123.20, 206,893.20 and 114,795.20

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Solution

The fourth proportional to 138,123.20, 206,893.20 and 114,795.20 is: 171,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,123.20 : 206,893.20 = 114,795.20 : x
  2. Step 2: Convert to fraction form
    138,123.20/206,893.20 = 114,795.20/x
  3. Step 3: Cross multiply
    138,123.20x = 206,893.20 × 114,795.20
  4. Step 4: Simplify right side
    138,123.20x = 23,750,346,272.64
  5. Step 5: Solve for x
    x = 23,750,346,272.64/138,123.20
  6. Step 6: Final answer
    x = 171,950.45

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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.