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Finding the Fourth Proportional to 149,863.12, 224,719.16 and 49,988.56

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Solution

The fourth proportional to 149,863.12, 224,719.16 and 49,988.56 is: 74,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.12 : 224,719.16 = 49,988.56 : x
  2. Step 2: Convert to fraction form
    149,863.12/224,719.16 = 49,988.56/x
  3. Step 3: Cross multiply
    149,863.12x = 224,719.16 × 49,988.56
  4. Step 4: Simplify right side
    149,863.12x = 11,233,387,212.81
  5. Step 5: Solve for x
    x = 11,233,387,212.81/149,863.12
  6. Step 6: Final answer
    x = 74,957.65

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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.