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Finding the Fourth Proportional to 142,291.80, 196,377.90 and 81,865.08

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Solution

The fourth proportional to 142,291.80, 196,377.90 and 81,865.08 is: 112,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,291.80 : 196,377.90 = 81,865.08 : x
  2. Step 2: Convert to fraction form
    142,291.80/196,377.90 = 81,865.08/x
  3. Step 3: Cross multiply
    142,291.80x = 196,377.90 × 81,865.08
  4. Step 4: Simplify right side
    142,291.80x = 16,076,492,493.73
  5. Step 5: Solve for x
    x = 16,076,492,493.73/142,291.80
  6. Step 6: Final answer
    x = 112,982.56

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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.