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Finding the Fourth Proportional to 218,947.48, 328,283.52 and 92,522.68

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Solution

The fourth proportional to 218,947.48, 328,283.52 and 92,522.68 is: 138,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,947.48 : 328,283.52 = 92,522.68 : x
  2. Step 2: Convert to fraction form
    218,947.48/328,283.52 = 92,522.68/x
  3. Step 3: Cross multiply
    218,947.48x = 328,283.52 × 92,522.68
  4. Step 4: Simplify right side
    218,947.48x = 30,373,671,070.23
  5. Step 5: Solve for x
    x = 30,373,671,070.23/218,947.48
  6. Step 6: Final answer
    x = 138,725.83

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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.