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Finding the Fourth Proportional to 118,769.97, 163,902.62 and 65,055.88

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Solution

The fourth proportional to 118,769.97, 163,902.62 and 65,055.88 is: 89,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,769.97 : 163,902.62 = 65,055.88 : x
  2. Step 2: Convert to fraction form
    118,769.97/163,902.62 = 65,055.88/x
  3. Step 3: Cross multiply
    118,769.97x = 163,902.62 × 65,055.88
  4. Step 4: Simplify right side
    118,769.97x = 10,662,829,178.41
  5. Step 5: Solve for x
    x = 10,662,829,178.41/118,769.97
  6. Step 6: Final answer
    x = 89,777.15

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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.