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Finding the Fourth Proportional to 301,191.74, 451,789.17 and 101,513.86

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Solution

The fourth proportional to 301,191.74, 451,789.17 and 101,513.86 is: 152,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,191.74 : 451,789.17 = 101,513.86 : x
  2. Step 2: Convert to fraction form
    301,191.74/451,789.17 = 101,513.86/x
  3. Step 3: Cross multiply
    301,191.74x = 451,789.17 × 101,513.86
  4. Step 4: Simplify right side
    301,191.74x = 45,862,861,328.25
  5. Step 5: Solve for x
    x = 45,862,861,328.25/301,191.74
  6. Step 6: Final answer
    x = 152,271.31

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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.