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Finding the Fourth Proportional to 128,274.85, 177,018.02 and 71,686.22

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Solution

The fourth proportional to 128,274.85, 177,018.02 and 71,686.22 is: 98,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,274.85 : 177,018.02 = 71,686.22 : x
  2. Step 2: Convert to fraction form
    128,274.85/177,018.02 = 71,686.22/x
  3. Step 3: Cross multiply
    128,274.85x = 177,018.02 × 71,686.22
  4. Step 4: Simplify right side
    128,274.85x = 12,689,752,725.68
  5. Step 5: Solve for x
    x = 12,689,752,725.68/128,274.85
  6. Step 6: Final answer
    x = 98,926.28

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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.