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Finding the Fourth Proportional to 102,230.64, 141,062.67 and 58,617

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Solution

The fourth proportional to 102,230.64, 141,062.67 and 58,617 is: 80,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,230.64 : 141,062.67 = 58,617 : x
  2. Step 2: Convert to fraction form
    102,230.64/141,062.67 = 58,617/x
  3. Step 3: Cross multiply
    102,230.64x = 141,062.67 × 58,617
  4. Step 4: Simplify right side
    102,230.64x = 8,268,670,527.39
  5. Step 5: Solve for x
    x = 8,268,670,527.39/102,230.64
  6. Step 6: Final answer
    x = 80,882.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.