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Finding the Fourth Proportional to 127,946.80, 176,653.56 and 82,734.16

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Solution

The fourth proportional to 127,946.80, 176,653.56 and 82,734.16 is: 114,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,946.80 : 176,653.56 = 82,734.16 : x
  2. Step 2: Convert to fraction form
    127,946.80/176,653.56 = 82,734.16/x
  3. Step 3: Cross multiply
    127,946.80x = 176,653.56 × 82,734.16
  4. Step 4: Simplify right side
    127,946.80x = 14,615,283,897.61
  5. Step 5: Solve for x
    x = 14,615,283,897.61/127,946.80
  6. Step 6: Final answer
    x = 114,229.38

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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.