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Finding the Fourth Proportional to 149,872.78, 224,788.64 and 50,030.70

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Solution

The fourth proportional to 149,872.78, 224,788.64 and 50,030.70 is: 75,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,872.78 : 224,788.64 = 50,030.70 : x
  2. Step 2: Convert to fraction form
    149,872.78/224,788.64 = 50,030.70/x
  3. Step 3: Cross multiply
    149,872.78x = 224,788.64 × 50,030.70
  4. Step 4: Simplify right side
    149,872.78x = 11,246,333,011.25
  5. Step 5: Solve for x
    x = 11,246,333,011.25/149,872.78
  6. Step 6: Final answer
    x = 75,039.20

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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.