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Finding the Fourth Proportional to 92,286.46, 138,315.48 and 65,589.90

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Solution

The fourth proportional to 92,286.46, 138,315.48 and 65,589.90 is: 98,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286.46 : 138,315.48 = 65,589.90 : x
  2. Step 2: Convert to fraction form
    92,286.46/138,315.48 = 65,589.90/x
  3. Step 3: Cross multiply
    92,286.46x = 138,315.48 × 65,589.90
  4. Step 4: Simplify right side
    92,286.46x = 9,072,098,501.65
  5. Step 5: Solve for x
    x = 9,072,098,501.65/92,286.46
  6. Step 6: Final answer
    x = 98,303.68

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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.