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Finding the Fourth Proportional to 83,206.34, 124,777.51 and 65,471.90

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Solution

The fourth proportional to 83,206.34, 124,777.51 and 65,471.90 is: 98,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.34 : 124,777.51 = 65,471.90 : x
  2. Step 2: Convert to fraction form
    83,206.34/124,777.51 = 65,471.90/x
  3. Step 3: Cross multiply
    83,206.34x = 124,777.51 × 65,471.90
  4. Step 4: Simplify right side
    83,206.34x = 8,169,420,656.97
  5. Step 5: Solve for x
    x = 8,169,420,656.97/83,206.34
  6. Step 6: Final answer
    x = 98,182.67

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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.