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Finding the Fourth Proportional to 140,594.74, 210,892.10 and 35,421.90

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Solution

The fourth proportional to 140,594.74, 210,892.10 and 35,421.90 is: 53,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,594.74 : 210,892.10 = 35,421.90 : x
  2. Step 2: Convert to fraction form
    140,594.74/210,892.10 = 35,421.90/x
  3. Step 3: Cross multiply
    140,594.74x = 210,892.10 × 35,421.90
  4. Step 4: Simplify right side
    140,594.74x = 7,470,198,876.99
  5. Step 5: Solve for x
    x = 7,470,198,876.99/140,594.74
  6. Step 6: Final answer
    x = 53,132.85

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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.