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Finding the Fourth Proportional to 140,862.12, 211,300.88 and 35,682

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Solution

The fourth proportional to 140,862.12, 211,300.88 and 35,682 is: 53,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,862.12 : 211,300.88 = 35,682 : x
  2. Step 2: Convert to fraction form
    140,862.12/211,300.88 = 35,682/x
  3. Step 3: Cross multiply
    140,862.12x = 211,300.88 × 35,682
  4. Step 4: Simplify right side
    140,862.12x = 7,539,638,000.16
  5. Step 5: Solve for x
    x = 7,539,638,000.16/140,862.12
  6. Step 6: Final answer
    x = 53,524.95

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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.