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Finding the Fourth Proportional to 150,248.70, 225,045.54 and 75,238.02

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Solution

The fourth proportional to 150,248.70, 225,045.54 and 75,238.02 is: 112,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,248.70 : 225,045.54 = 75,238.02 : x
  2. Step 2: Convert to fraction form
    150,248.70/225,045.54 = 75,238.02/x
  3. Step 3: Cross multiply
    150,248.70x = 225,045.54 × 75,238.02
  4. Step 4: Simplify right side
    150,248.70x = 16,931,980,839.43
  5. Step 5: Solve for x
    x = 16,931,980,839.43/150,248.70
  6. Step 6: Final answer
    x = 112,693.03

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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.