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Finding the Fourth Proportional to 342,157.74, 472,169.25 and 189,192.04

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Solution

The fourth proportional to 342,157.74, 472,169.25 and 189,192.04 is: 261,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,157.74 : 472,169.25 = 189,192.04 : x
  2. Step 2: Convert to fraction form
    342,157.74/472,169.25 = 189,192.04/x
  3. Step 3: Cross multiply
    342,157.74x = 472,169.25 × 189,192.04
  4. Step 4: Simplify right side
    342,157.74x = 89,330,662,452.35
  5. Step 5: Solve for x
    x = 89,330,662,452.35/342,157.74
  6. Step 6: Final answer
    x = 261,080.35

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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.