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Finding the Fourth Proportional to 138,076.84, 207,092.14 and 38,247.08

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Solution

The fourth proportional to 138,076.84, 207,092.14 and 38,247.08 is: 57,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,076.84 : 207,092.14 = 38,247.08 : x
  2. Step 2: Convert to fraction form
    138,076.84/207,092.14 = 38,247.08/x
  3. Step 3: Cross multiply
    138,076.84x = 207,092.14 × 38,247.08
  4. Step 4: Simplify right side
    138,076.84x = 7,920,669,645.95
  5. Step 5: Solve for x
    x = 7,920,669,645.95/138,076.84
  6. Step 6: Final answer
    x = 57,364.22

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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.