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Finding the Fourth Proportional to 257,151.30, 385,788.54 and 107,308.24

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Solution

The fourth proportional to 257,151.30, 385,788.54 and 107,308.24 is: 160,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151.30 : 385,788.54 = 107,308.24 : x
  2. Step 2: Convert to fraction form
    257,151.30/385,788.54 = 107,308.24/x
  3. Step 3: Cross multiply
    257,151.30x = 385,788.54 × 107,308.24
  4. Step 4: Simplify right side
    257,151.30x = 41,398,289,239.57
  5. Step 5: Solve for x
    x = 41,398,289,239.57/257,151.30
  6. Step 6: Final answer
    x = 160,988.06

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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.