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Finding the Fourth Proportional to 342,132.16, 472,123.24 and 189,161.44

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Solution

The fourth proportional to 342,132.16, 472,123.24 and 189,161.44 is: 261,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,132.16 : 472,123.24 = 189,161.44 : x
  2. Step 2: Convert to fraction form
    342,132.16/472,123.24 = 189,161.44/x
  3. Step 3: Cross multiply
    342,132.16x = 472,123.24 × 189,161.44
  4. Step 4: Simplify right side
    342,132.16x = 89,307,511,935.87
  5. Step 5: Solve for x
    x = 89,307,511,935.87/342,132.16
  6. Step 6: Final answer
    x = 261,032.20

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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.