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Finding the Fourth Proportional to 185,590.77, 278,382.68 and 59,230

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Solution

The fourth proportional to 185,590.77, 278,382.68 and 59,230 is: 88,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,590.77 : 278,382.68 = 59,230 : x
  2. Step 2: Convert to fraction form
    185,590.77/278,382.68 = 59,230/x
  3. Step 3: Cross multiply
    185,590.77x = 278,382.68 × 59,230
  4. Step 4: Simplify right side
    185,590.77x = 16,488,606,136.40
  5. Step 5: Solve for x
    x = 16,488,606,136.40/185,590.77
  6. Step 6: Final answer
    x = 88,843.89

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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.