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Finding the Fourth Proportional to 118,734.66, 163,853.88 and 65,023.02

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Solution

The fourth proportional to 118,734.66, 163,853.88 and 65,023.02 is: 89,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.66 : 163,853.88 = 65,023.02 : x
  2. Step 2: Convert to fraction form
    118,734.66/163,853.88 = 65,023.02/x
  3. Step 3: Cross multiply
    118,734.66x = 163,853.88 × 65,023.02
  4. Step 4: Simplify right side
    118,734.66x = 10,654,274,116.32
  5. Step 5: Solve for x
    x = 10,654,274,116.32/118,734.66
  6. Step 6: Final answer
    x = 89,731.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.