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Finding the Fourth Proportional to 205,332, 308,120.88 and 88,596

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Solution

The fourth proportional to 205,332, 308,120.88 and 88,596 is: 132,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,332 : 308,120.88 = 88,596 : x
  2. Step 2: Convert to fraction form
    205,332/308,120.88 = 88,596/x
  3. Step 3: Cross multiply
    205,332x = 308,120.88 × 88,596
  4. Step 4: Simplify right side
    205,332x = 27,298,277,484.48
  5. Step 5: Solve for x
    x = 27,298,277,484.48/205,332
  6. Step 6: Final answer
    x = 132,947.02

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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.