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Finding the Fourth Proportional to 228,692.16, 342,905.40 and 88,286.76

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Solution

The fourth proportional to 228,692.16, 342,905.40 and 88,286.76 is: 132,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,692.16 : 342,905.40 = 88,286.76 : x
  2. Step 2: Convert to fraction form
    228,692.16/342,905.40 = 88,286.76/x
  3. Step 3: Cross multiply
    228,692.16x = 342,905.40 × 88,286.76
  4. Step 4: Simplify right side
    228,692.16x = 30,274,006,752.50
  5. Step 5: Solve for x
    x = 30,274,006,752.50/228,692.16
  6. Step 6: Final answer
    x = 132,378.86

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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.