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Finding the Fourth Proportional to 149,701.84, 224,714.52 and 133,167.76

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Solution

The fourth proportional to 149,701.84, 224,714.52 and 133,167.76 is: 199,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,701.84 : 224,714.52 = 133,167.76 : x
  2. Step 2: Convert to fraction form
    149,701.84/224,714.52 = 133,167.76/x
  3. Step 3: Cross multiply
    149,701.84x = 224,714.52 × 133,167.76
  4. Step 4: Simplify right side
    149,701.84x = 29,924,729,267.88
  5. Step 5: Solve for x
    x = 29,924,729,267.88/149,701.84
  6. Step 6: Final answer
    x = 199,895.53

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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.