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Finding the Fourth Proportional to 103,489.42, 142,816.67 and 58,164.75

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Solution

The fourth proportional to 103,489.42, 142,816.67 and 58,164.75 is: 80,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489.42 : 142,816.67 = 58,164.75 : x
  2. Step 2: Convert to fraction form
    103,489.42/142,816.67 = 58,164.75/x
  3. Step 3: Cross multiply
    103,489.42x = 142,816.67 × 58,164.75
  4. Step 4: Simplify right side
    103,489.42x = 8,306,895,906.38
  5. Step 5: Solve for x
    x = 8,306,895,906.38/103,489.42
  6. Step 6: Final answer
    x = 80,268.07

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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.