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Finding the Fourth Proportional to 127,968.64, 176,561.28 and 82,648.56

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Solution

The fourth proportional to 127,968.64, 176,561.28 and 82,648.56 is: 114,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968.64 : 176,561.28 = 82,648.56 : x
  2. Step 2: Convert to fraction form
    127,968.64/176,561.28 = 82,648.56/x
  3. Step 3: Cross multiply
    127,968.64x = 176,561.28 × 82,648.56
  4. Step 4: Simplify right side
    127,968.64x = 14,592,535,543.76
  5. Step 5: Solve for x
    x = 14,592,535,543.76/127,968.64
  6. Step 6: Final answer
    x = 114,032.12

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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.