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Finding the Fourth Proportional to 140,596.74, 210,895.10 and 35,423.90

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Solution

The fourth proportional to 140,596.74, 210,895.10 and 35,423.90 is: 53,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596.74 : 210,895.10 = 35,423.90 : x
  2. Step 2: Convert to fraction form
    140,596.74/210,895.10 = 35,423.90/x
  3. Step 3: Cross multiply
    140,596.74x = 210,895.10 × 35,423.90
  4. Step 4: Simplify right side
    140,596.74x = 7,470,726,932.89
  5. Step 5: Solve for x
    x = 7,470,726,932.89/140,596.74
  6. Step 6: Final answer
    x = 53,135.85

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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.