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Finding the Fourth Proportional to 125,096.34, 187,663.96 and 42,009.78

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Solution

The fourth proportional to 125,096.34, 187,663.96 and 42,009.78 is: 63,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,096.34 : 187,663.96 = 42,009.78 : x
  2. Step 2: Convert to fraction form
    125,096.34/187,663.96 = 42,009.78/x
  3. Step 3: Cross multiply
    125,096.34x = 187,663.96 × 42,009.78
  4. Step 4: Simplify right side
    125,096.34x = 7,883,722,193.48
  5. Step 5: Solve for x
    x = 7,883,722,193.48/125,096.34
  6. Step 6: Final answer
    x = 63,021.20

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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.