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Finding the Fourth Proportional to 285,429.52, 428,127.80 and 85,745.52

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Solution

The fourth proportional to 285,429.52, 428,127.80 and 85,745.52 is: 128,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,429.52 : 428,127.80 = 85,745.52 : x
  2. Step 2: Convert to fraction form
    285,429.52/428,127.80 = 85,745.52/x
  3. Step 3: Cross multiply
    285,429.52x = 428,127.80 × 85,745.52
  4. Step 4: Simplify right side
    285,429.52x = 36,710,040,837.46
  5. Step 5: Solve for x
    x = 36,710,040,837.46/285,429.52
  6. Step 6: Final answer
    x = 128,613.33

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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.