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Finding the Fourth Proportional to 127,986.52, 176,653.02 and 77,727.64

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Solution

The fourth proportional to 127,986.52, 176,653.02 and 77,727.64 is: 107,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986.52 : 176,653.02 = 77,727.64 : x
  2. Step 2: Convert to fraction form
    127,986.52/176,653.02 = 77,727.64/x
  3. Step 3: Cross multiply
    127,986.52x = 176,653.02 × 77,727.64
  4. Step 4: Simplify right side
    127,986.52x = 13,730,822,343.47
  5. Step 5: Solve for x
    x = 13,730,822,343.47/127,986.52
  6. Step 6: Final answer
    x = 107,283.35

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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.