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Finding the Fourth Proportional to 263,757.74, 363,985.16 and 142,902.29

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Solution

The fourth proportional to 263,757.74, 363,985.16 and 142,902.29 is: 197,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,757.74 : 363,985.16 = 142,902.29 : x
  2. Step 2: Convert to fraction form
    263,757.74/363,985.16 = 142,902.29/x
  3. Step 3: Cross multiply
    263,757.74x = 363,985.16 × 142,902.29
  4. Step 4: Simplify right side
    263,757.74x = 52,014,313,085.47
  5. Step 5: Solve for x
    x = 52,014,313,085.47/263,757.74
  6. Step 6: Final answer
    x = 197,204.88

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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.