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Finding the Fourth Proportional to 253,594.56, 380,462.91 and 101,898.15

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Solution

The fourth proportional to 253,594.56, 380,462.91 and 101,898.15 is: 152,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,594.56 : 380,462.91 = 101,898.15 : x
  2. Step 2: Convert to fraction form
    253,594.56/380,462.91 = 101,898.15/x
  3. Step 3: Cross multiply
    253,594.56x = 380,462.91 × 101,898.15
  4. Step 4: Simplify right side
    253,594.56x = 38,768,466,672.62
  5. Step 5: Solve for x
    x = 38,768,466,672.62/253,594.56
  6. Step 6: Final answer
    x = 152,875.78

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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.