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Finding the Fourth Proportional to 150,000.70, 224,741.85 and 123,562.30

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Solution

The fourth proportional to 150,000.70, 224,741.85 and 123,562.30 is: 185,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.70 : 224,741.85 = 123,562.30 : x
  2. Step 2: Convert to fraction form
    150,000.70/224,741.85 = 123,562.30/x
  3. Step 3: Cross multiply
    150,000.70x = 224,741.85 × 123,562.30
  4. Step 4: Simplify right side
    150,000.70x = 27,769,619,892.26
  5. Step 5: Solve for x
    x = 27,769,619,892.26/150,000.70
  6. Step 6: Final answer
    x = 185,129.94

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1.5x scale

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.