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Finding the Fourth Proportional to 140,308.32, 193,692.80 and 82,957.44

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Solution

The fourth proportional to 140,308.32, 193,692.80 and 82,957.44 is: 114,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308.32 : 193,692.80 = 82,957.44 : x
  2. Step 2: Convert to fraction form
    140,308.32/193,692.80 = 82,957.44/x
  3. Step 3: Cross multiply
    140,308.32x = 193,692.80 × 82,957.44
  4. Step 4: Simplify right side
    140,308.32x = 16,068,258,834.43
  5. Step 5: Solve for x
    x = 16,068,258,834.43/140,308.32
  6. Step 6: Final answer
    x = 114,521.07

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Why These Related Problems?

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