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Finding the Fourth Proportional to 285,703.20, 428,425.20 and 108,151.20

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Solution

The fourth proportional to 285,703.20, 428,425.20 and 108,151.20 is: 162,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.20 : 428,425.20 = 108,151.20 : x
  2. Step 2: Convert to fraction form
    285,703.20/428,425.20 = 108,151.20/x
  3. Step 3: Cross multiply
    285,703.20x = 428,425.20 × 108,151.20
  4. Step 4: Simplify right side
    285,703.20x = 46,334,699,490.24
  5. Step 5: Solve for x
    x = 46,334,699,490.24/285,703.20
  6. Step 6: Final answer
    x = 162,177.74

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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.