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Finding the Fourth Proportional to 175,265.91, 262,917.27 and 86,434.02

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Solution

The fourth proportional to 175,265.91, 262,917.27 and 86,434.02 is: 129,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,265.91 : 262,917.27 = 86,434.02 : x
  2. Step 2: Convert to fraction form
    175,265.91/262,917.27 = 86,434.02/x
  3. Step 3: Cross multiply
    175,265.91x = 262,917.27 × 86,434.02
  4. Step 4: Simplify right side
    175,265.91x = 22,724,996,573.53
  5. Step 5: Solve for x
    x = 22,724,996,573.53/175,265.91
  6. Step 6: Final answer
    x = 129,660.11

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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.