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Finding the Fourth Proportional to 361,768.96, 542,347.20 and 137,005.48

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Solution

The fourth proportional to 361,768.96, 542,347.20 and 137,005.48 is: 205,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,768.96 : 542,347.20 = 137,005.48 : x
  2. Step 2: Convert to fraction form
    361,768.96/542,347.20 = 137,005.48/x
  3. Step 3: Cross multiply
    361,768.96x = 542,347.20 × 137,005.48
  4. Step 4: Simplify right side
    361,768.96x = 74,304,538,462.66
  5. Step 5: Solve for x
    x = 74,304,538,462.66/361,768.96
  6. Step 6: Final answer
    x = 205,392.24

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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.