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Finding the Fourth Proportional to 149,860.53, 224,901.69 and 70,974.90

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Solution

The fourth proportional to 149,860.53, 224,901.69 and 70,974.90 is: 106,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,860.53 : 224,901.69 = 70,974.90 : x
  2. Step 2: Convert to fraction form
    149,860.53/224,901.69 = 70,974.90/x
  3. Step 3: Cross multiply
    149,860.53x = 224,901.69 × 70,974.90
  4. Step 4: Simplify right side
    149,860.53x = 15,962,374,957.58
  5. Step 5: Solve for x
    x = 15,962,374,957.58/149,860.53
  6. Step 6: Final answer
    x = 106,514.87

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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.