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Finding the Fourth Proportional to 149,699.84, 224,711.52 and 133,165.76

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Solution

The fourth proportional to 149,699.84, 224,711.52 and 133,165.76 is: 199,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699.84 : 224,711.52 = 133,165.76 : x
  2. Step 2: Convert to fraction form
    149,699.84/224,711.52 = 133,165.76/x
  3. Step 3: Cross multiply
    149,699.84x = 224,711.52 × 133,165.76
  4. Step 4: Simplify right side
    149,699.84x = 29,923,880,341.56
  5. Step 5: Solve for x
    x = 29,923,880,341.56/149,699.84
  6. Step 6: Final answer
    x = 199,892.53

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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.