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Finding the Fourth Proportional to 128,411, 177,207.87 and 71,822.36

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Solution

The fourth proportional to 128,411, 177,207.87 and 71,822.36 is: 99,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,411 : 177,207.87 = 71,822.36 : x
  2. Step 2: Convert to fraction form
    128,411/177,207.87 = 71,822.36/x
  3. Step 3: Cross multiply
    128,411x = 177,207.87 × 71,822.36
  4. Step 4: Simplify right side
    128,411x = 12,727,487,433.97
  5. Step 5: Solve for x
    x = 12,727,487,433.97/128,411
  6. Step 6: Final answer
    x = 99,115.24

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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.