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Finding the Fourth Proportional to 284,064.96, 425,951.52 and 94,456.88

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Solution

The fourth proportional to 284,064.96, 425,951.52 and 94,456.88 is: 141,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064.96 : 425,951.52 = 94,456.88 : x
  2. Step 2: Convert to fraction form
    284,064.96/425,951.52 = 94,456.88/x
  3. Step 3: Cross multiply
    284,064.96x = 425,951.52 × 94,456.88
  4. Step 4: Simplify right side
    284,064.96x = 40,234,051,610.46
  5. Step 5: Solve for x
    x = 40,234,051,610.46/284,064.96
  6. Step 6: Final answer
    x = 141,636.80

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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.