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Finding the Fourth Proportional to 125,096.49, 187,664.17 and 42,009.93

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Solution

The fourth proportional to 125,096.49, 187,664.17 and 42,009.93 is: 63,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,096.49 : 187,664.17 = 42,009.93 : x
  2. Step 2: Convert to fraction form
    125,096.49/187,664.17 = 42,009.93/x
  3. Step 3: Cross multiply
    125,096.49x = 187,664.17 × 42,009.93
  4. Step 4: Simplify right side
    125,096.49x = 7,883,758,645.21
  5. Step 5: Solve for x
    x = 7,883,758,645.21/125,096.49
  6. Step 6: Final answer
    x = 63,021.42

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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.