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Finding the Fourth Proportional to 109,966.80, 165,047.40 and 94,220.40

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Solution

The fourth proportional to 109,966.80, 165,047.40 and 94,220.40 is: 141,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,966.80 : 165,047.40 = 94,220.40 : x
  2. Step 2: Convert to fraction form
    109,966.80/165,047.40 = 94,220.40/x
  3. Step 3: Cross multiply
    109,966.80x = 165,047.40 × 94,220.40
  4. Step 4: Simplify right side
    109,966.80x = 15,550,832,046.96
  5. Step 5: Solve for x
    x = 15,550,832,046.96/109,966.80
  6. Step 6: Final answer
    x = 141,413.88

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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.