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Finding the Fourth Proportional to 127,971.64, 176,565.42 and 82,651.56

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Solution

The fourth proportional to 127,971.64, 176,565.42 and 82,651.56 is: 114,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,971.64 : 176,565.42 = 82,651.56 : x
  2. Step 2: Convert to fraction form
    127,971.64/176,565.42 = 82,651.56/x
  3. Step 3: Cross multiply
    127,971.64x = 176,565.42 × 82,651.56
  4. Step 4: Simplify right side
    127,971.64x = 14,593,407,405.06
  5. Step 5: Solve for x
    x = 14,593,407,405.06/127,971.64
  6. Step 6: Final answer
    x = 114,036.26

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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.