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Finding the Fourth Proportional to 150,004.70, 224,747.85 and 97,387.10

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Solution

The fourth proportional to 150,004.70, 224,747.85 and 97,387.10 is: 145,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,004.70 : 224,747.85 = 97,387.10 : x
  2. Step 2: Convert to fraction form
    150,004.70/224,747.85 = 97,387.10/x
  3. Step 3: Cross multiply
    150,004.70x = 224,747.85 × 97,387.10
  4. Step 4: Simplify right side
    150,004.70x = 21,887,541,342.74
  5. Step 5: Solve for x
    x = 21,887,541,342.74/150,004.70
  6. Step 6: Final answer
    x = 145,912.37

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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.