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Finding the Fourth Proportional to 107,409.38, 148,224.87 and 59,667.17

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Solution

The fourth proportional to 107,409.38, 148,224.87 and 59,667.17 is: 82,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,409.38 : 148,224.87 = 59,667.17 : x
  2. Step 2: Convert to fraction form
    107,409.38/148,224.87 = 59,667.17/x
  3. Step 3: Cross multiply
    107,409.38x = 148,224.87 × 59,667.17
  4. Step 4: Simplify right side
    107,409.38x = 8,844,158,516.52
  5. Step 5: Solve for x
    x = 8,844,158,516.52/107,409.38
  6. Step 6: Final answer
    x = 82,340.65

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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.