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Finding the Fourth Proportional to 151,065.72, 208,465.92 and 83,082.24

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Solution

The fourth proportional to 151,065.72, 208,465.92 and 83,082.24 is: 114,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,065.72 : 208,465.92 = 83,082.24 : x
  2. Step 2: Convert to fraction form
    151,065.72/208,465.92 = 83,082.24/x
  3. Step 3: Cross multiply
    151,065.72x = 208,465.92 × 83,082.24
  4. Step 4: Simplify right side
    151,065.72x = 17,319,815,597.26
  5. Step 5: Solve for x
    x = 17,319,815,597.26/151,065.72
  6. Step 6: Final answer
    x = 114,650.87

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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.