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Finding the Fourth Proportional to 361,502.34, 542,402.25 and 158,994.24

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Solution

The fourth proportional to 361,502.34, 542,402.25 and 158,994.24 is: 238,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,502.34 : 542,402.25 = 158,994.24 : x
  2. Step 2: Convert to fraction form
    361,502.34/542,402.25 = 158,994.24/x
  3. Step 3: Cross multiply
    361,502.34x = 542,402.25 × 158,994.24
  4. Step 4: Simplify right side
    361,502.34x = 86,238,833,513.04
  5. Step 5: Solve for x
    x = 86,238,833,513.04/361,502.34
  6. Step 6: Final answer
    x = 238,556.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.