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Finding the Fourth Proportional to 159,082.50, 219,353.49 and 101,645.94

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Solution

The fourth proportional to 159,082.50, 219,353.49 and 101,645.94 is: 140,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.50 : 219,353.49 = 101,645.94 : x
  2. Step 2: Convert to fraction form
    159,082.50/219,353.49 = 101,645.94/x
  3. Step 3: Cross multiply
    159,082.50x = 219,353.49 × 101,645.94
  4. Step 4: Simplify right side
    159,082.50x = 22,296,391,683.33
  5. Step 5: Solve for x
    x = 22,296,391,683.33/159,082.50
  6. Step 6: Final answer
    x = 140,156.16

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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.