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Finding the Fourth Proportional to 175,086.57, 262,711.87 and 86,291.67

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Solution

The fourth proportional to 175,086.57, 262,711.87 and 86,291.67 is: 129,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086.57 : 262,711.87 = 86,291.67 : x
  2. Step 2: Convert to fraction form
    175,086.57/262,711.87 = 86,291.67/x
  3. Step 3: Cross multiply
    175,086.57x = 262,711.87 × 86,291.67
  4. Step 4: Simplify right side
    175,086.57x = 22,669,845,775.39
  5. Step 5: Solve for x
    x = 22,669,845,775.39/175,086.57
  6. Step 6: Final answer
    x = 129,477.92

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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.