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Finding the Fourth Proportional to 127,917.48, 191,941.02 and 86,277

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Solution

The fourth proportional to 127,917.48, 191,941.02 and 86,277 is: 129,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,917.48 : 191,941.02 = 86,277 : x
  2. Step 2: Convert to fraction form
    127,917.48/191,941.02 = 86,277/x
  3. Step 3: Cross multiply
    127,917.48x = 191,941.02 × 86,277
  4. Step 4: Simplify right side
    127,917.48x = 16,560,095,382.54
  5. Step 5: Solve for x
    x = 16,560,095,382.54/127,917.48
  6. Step 6: Final answer
    x = 129,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.