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Finding the Fourth Proportional to 140,892, 211,339.20 and 35,711.04

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Solution

The fourth proportional to 140,892, 211,339.20 and 35,711.04 is: 53,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,892 : 211,339.20 = 35,711.04 : x
  2. Step 2: Convert to fraction form
    140,892/211,339.20 = 35,711.04/x
  3. Step 3: Cross multiply
    140,892x = 211,339.20 × 35,711.04
  4. Step 4: Simplify right side
    140,892x = 7,547,142,624.77
  5. Step 5: Solve for x
    x = 7,547,142,624.77/140,892
  6. Step 6: Final answer
    x = 53,566.86

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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.