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Finding the Fourth Proportional to 285,566.08, 428,356.08 and 96,029.20

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Solution

The fourth proportional to 285,566.08, 428,356.08 and 96,029.20 is: 144,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,566.08 : 428,356.08 = 96,029.20 : x
  2. Step 2: Convert to fraction form
    285,566.08/428,356.08 = 96,029.20/x
  3. Step 3: Cross multiply
    285,566.08x = 428,356.08 × 96,029.20
  4. Step 4: Simplify right side
    285,566.08x = 41,134,691,677.54
  5. Step 5: Solve for x
    x = 41,134,691,677.54/285,566.08
  6. Step 6: Final answer
    x = 144,046.14

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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.