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Finding the Fourth Proportional to 140,885.90, 211,306.36 and 52,119.21

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Solution

The fourth proportional to 140,885.90, 211,306.36 and 52,119.21 is: 78,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,885.90 : 211,306.36 = 52,119.21 : x
  2. Step 2: Convert to fraction form
    140,885.90/211,306.36 = 52,119.21/x
  3. Step 3: Cross multiply
    140,885.90x = 211,306.36 × 52,119.21
  4. Step 4: Simplify right side
    140,885.90x = 11,013,120,551.18
  5. Step 5: Solve for x
    x = 11,013,120,551.18/140,885.90
  6. Step 6: Final answer
    x = 78,170.50

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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.