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Finding the Fourth Proportional to 92,282.46, 138,309.48 and 65,585.90

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Solution

The fourth proportional to 92,282.46, 138,309.48 and 65,585.90 is: 98,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,282.46 : 138,309.48 = 65,585.90 : x
  2. Step 2: Convert to fraction form
    92,282.46/138,309.48 = 65,585.90/x
  3. Step 3: Cross multiply
    92,282.46x = 138,309.48 × 65,585.90
  4. Step 4: Simplify right side
    92,282.46x = 9,071,151,032.78
  5. Step 5: Solve for x
    x = 9,071,151,032.78/92,282.46
  6. Step 6: Final answer
    x = 98,297.67

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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.