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Finding the Fourth Proportional to 257,194.72, 385,788.48 and 156,016.88

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Solution

The fourth proportional to 257,194.72, 385,788.48 and 156,016.88 is: 234,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.72 : 385,788.48 = 156,016.88 : x
  2. Step 2: Convert to fraction form
    257,194.72/385,788.48 = 156,016.88/x
  3. Step 3: Cross multiply
    257,194.72x = 385,788.48 × 156,016.88
  4. Step 4: Simplify right side
    257,194.72x = 60,189,514,989.54
  5. Step 5: Solve for x
    x = 60,189,514,989.54/257,194.72
  6. Step 6: Final answer
    x = 234,023.14

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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.