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Finding the Fourth Proportional to 172,082.16, 237,447.72 and 96,616.08

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Solution

The fourth proportional to 172,082.16, 237,447.72 and 96,616.08 is: 133,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082.16 : 237,447.72 = 96,616.08 : x
  2. Step 2: Convert to fraction form
    172,082.16/237,447.72 = 96,616.08/x
  3. Step 3: Cross multiply
    172,082.16x = 237,447.72 × 96,616.08
  4. Step 4: Simplify right side
    172,082.16x = 22,941,267,911.34
  5. Step 5: Solve for x
    x = 22,941,267,911.34/172,082.16
  6. Step 6: Final answer
    x = 133,315.78

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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.