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Finding the Fourth Proportional to 263,654.52, 363,841.14 and 142,793.04

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Solution

The fourth proportional to 263,654.52, 363,841.14 and 142,793.04 is: 197,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,654.52 : 363,841.14 = 142,793.04 : x
  2. Step 2: Convert to fraction form
    263,654.52/363,841.14 = 142,793.04/x
  3. Step 3: Cross multiply
    263,654.52x = 363,841.14 × 142,793.04
  4. Step 4: Simplify right side
    263,654.52x = 51,953,982,457.67
  5. Step 5: Solve for x
    x = 51,953,982,457.67/263,654.52
  6. Step 6: Final answer
    x = 197,053.26

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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.