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Finding the Fourth Proportional to 136,972.80, 205,459.20 and 38,476.80

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Solution

The fourth proportional to 136,972.80, 205,459.20 and 38,476.80 is: 57,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,972.80 : 205,459.20 = 38,476.80 : x
  2. Step 2: Convert to fraction form
    136,972.80/205,459.20 = 38,476.80/x
  3. Step 3: Cross multiply
    136,972.80x = 205,459.20 × 38,476.80
  4. Step 4: Simplify right side
    136,972.80x = 7,905,412,546.56
  5. Step 5: Solve for x
    x = 7,905,412,546.56/136,972.80
  6. Step 6: Final answer
    x = 57,715.20

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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.