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Finding the Fourth Proportional to 342,101.48, 472,098.84 and 191,198.48

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Solution

The fourth proportional to 342,101.48, 472,098.84 and 191,198.48 is: 263,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,101.48 : 472,098.84 = 191,198.48 : x
  2. Step 2: Convert to fraction form
    342,101.48/472,098.84 = 191,198.48/x
  3. Step 3: Cross multiply
    342,101.48x = 472,098.84 × 191,198.48
  4. Step 4: Simplify right side
    342,101.48x = 90,264,578,257.27
  5. Step 5: Solve for x
    x = 90,264,578,257.27/342,101.48
  6. Step 6: Final answer
    x = 263,853.23

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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.