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Finding the Fourth Proportional to 149,449.78, 224,125.92 and 49,583.16

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Solution

The fourth proportional to 149,449.78, 224,125.92 and 49,583.16 is: 74,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,449.78 : 224,125.92 = 49,583.16 : x
  2. Step 2: Convert to fraction form
    149,449.78/224,125.92 = 49,583.16/x
  3. Step 3: Cross multiply
    149,449.78x = 224,125.92 × 49,583.16
  4. Step 4: Simplify right side
    149,449.78x = 11,112,872,191.04
  5. Step 5: Solve for x
    x = 11,112,872,191.04/149,449.78
  6. Step 6: Final answer
    x = 74,358.57

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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.