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Finding the Fourth Proportional to 342,046.26, 472,026.83 and 189,082.01

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Solution

The fourth proportional to 342,046.26, 472,026.83 and 189,082.01 is: 260,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,046.26 : 472,026.83 = 189,082.01 : x
  2. Step 2: Convert to fraction form
    342,046.26/472,026.83 = 189,082.01/x
  3. Step 3: Cross multiply
    342,046.26x = 472,026.83 × 189,082.01
  4. Step 4: Simplify right side
    342,046.26x = 89,251,782,024.99
  5. Step 5: Solve for x
    x = 89,251,782,024.99/342,046.26
  6. Step 6: Final answer
    x = 260,934.83

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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.