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Finding the Fourth Proportional to 203,207.04, 280,177.92 and 149,328

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Solution

The fourth proportional to 203,207.04, 280,177.92 and 149,328 is: 205,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,207.04 : 280,177.92 = 149,328 : x
  2. Step 2: Convert to fraction form
    203,207.04/280,177.92 = 149,328/x
  3. Step 3: Cross multiply
    203,207.04x = 280,177.92 × 149,328
  4. Step 4: Simplify right side
    203,207.04x = 41,838,408,437.76
  5. Step 5: Solve for x
    x = 41,838,408,437.76/203,207.04
  6. Step 6: Final answer
    x = 205,890.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.