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Finding the Fourth Proportional to 101,916.33, 152,188.21 and 83,233.45

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Solution

The fourth proportional to 101,916.33, 152,188.21 and 83,233.45 is: 124,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.33 : 152,188.21 = 83,233.45 : x
  2. Step 2: Convert to fraction form
    101,916.33/152,188.21 = 83,233.45/x
  3. Step 3: Cross multiply
    101,916.33x = 152,188.21 × 83,233.45
  4. Step 4: Simplify right side
    101,916.33x = 12,667,149,767.62
  5. Step 5: Solve for x
    x = 12,667,149,767.62/101,916.33
  6. Step 6: Final answer
    x = 124,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.