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Finding the Fourth Proportional to 127,963.75, 176,646.60 and 82,663.82

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Solution

The fourth proportional to 127,963.75, 176,646.60 and 82,663.82 is: 114,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,963.75 : 176,646.60 = 82,663.82 : x
  2. Step 2: Convert to fraction form
    127,963.75/176,646.60 = 82,663.82/x
  3. Step 3: Cross multiply
    127,963.75x = 176,646.60 × 82,663.82
  4. Step 4: Simplify right side
    127,963.75x = 14,602,282,746.01
  5. Step 5: Solve for x
    x = 14,602,282,746.01/127,963.75
  6. Step 6: Final answer
    x = 114,112.65

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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.