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Finding the Fourth Proportional to 127,967.96, 176,596.10 and 71,383

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Solution

The fourth proportional to 127,967.96, 176,596.10 and 71,383 is: 98,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.96 : 176,596.10 = 71,383 : x
  2. Step 2: Convert to fraction form
    127,967.96/176,596.10 = 71,383/x
  3. Step 3: Cross multiply
    127,967.96x = 176,596.10 × 71,383
  4. Step 4: Simplify right side
    127,967.96x = 12,605,959,406.30
  5. Step 5: Solve for x
    x = 12,605,959,406.30/127,967.96
  6. Step 6: Final answer
    x = 98,508.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.