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Finding the Fourth Proportional to 157,082.73, 216,775.11 and 85,463.26

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Solution

The fourth proportional to 157,082.73, 216,775.11 and 85,463.26 is: 117,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.73 : 216,775.11 = 85,463.26 : x
  2. Step 2: Convert to fraction form
    157,082.73/216,775.11 = 85,463.26/x
  3. Step 3: Cross multiply
    157,082.73x = 216,775.11 × 85,463.26
  4. Step 4: Simplify right side
    157,082.73x = 18,526,307,587.46
  5. Step 5: Solve for x
    x = 18,526,307,587.46/157,082.73
  6. Step 6: Final answer
    x = 117,939.81

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1.5x scale

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.