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Finding the Fourth Proportional to 361,778.40, 542,692.94 and 109,060.97

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Solution

The fourth proportional to 361,778.40, 542,692.94 and 109,060.97 is: 163,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,778.40 : 542,692.94 = 109,060.97 : x
  2. Step 2: Convert to fraction form
    361,778.40/542,692.94 = 109,060.97/x
  3. Step 3: Cross multiply
    361,778.40x = 542,692.94 × 109,060.97
  4. Step 4: Simplify right side
    361,778.40x = 59,186,615,189.78
  5. Step 5: Solve for x
    x = 59,186,615,189.78/361,778.40
  6. Step 6: Final answer
    x = 163,599.08

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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.