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Finding the Fourth Proportional to 127,776.16, 176,331.38 and 71,189.56

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Solution

The fourth proportional to 127,776.16, 176,331.38 and 71,189.56 is: 98,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776.16 : 176,331.38 = 71,189.56 : x
  2. Step 2: Convert to fraction form
    127,776.16/176,331.38 = 71,189.56/x
  3. Step 3: Cross multiply
    127,776.16x = 176,331.38 × 71,189.56
  4. Step 4: Simplify right side
    127,776.16x = 12,552,953,356.39
  5. Step 5: Solve for x
    x = 12,552,953,356.39/127,776.16
  6. Step 6: Final answer
    x = 98,241.75

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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.