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Finding the Fourth Proportional to 108,957.16, 163,337.10 and 75,692.80

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Solution

The fourth proportional to 108,957.16, 163,337.10 and 75,692.80 is: 113,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,957.16 : 163,337.10 = 75,692.80 : x
  2. Step 2: Convert to fraction form
    108,957.16/163,337.10 = 75,692.80/x
  3. Step 3: Cross multiply
    108,957.16x = 163,337.10 × 75,692.80
  4. Step 4: Simplify right side
    108,957.16x = 12,363,442,442.88
  5. Step 5: Solve for x
    x = 12,363,442,442.88/108,957.16
  6. Step 6: Final answer
    x = 113,470.67

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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.