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Finding the Fourth Proportional to 165,292, 247,976.88 and 54,484

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Solution

The fourth proportional to 165,292, 247,976.88 and 54,484 is: 81,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,292 : 247,976.88 = 54,484 : x
  2. Step 2: Convert to fraction form
    165,292/247,976.88 = 54,484/x
  3. Step 3: Cross multiply
    165,292x = 247,976.88 × 54,484
  4. Step 4: Simplify right side
    165,292x = 13,510,772,329.92
  5. Step 5: Solve for x
    x = 13,510,772,329.92/165,292
  6. Step 6: Final answer
    x = 81,738.82

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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.