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Finding the Fourth Proportional to 140,958.15, 211,384.53 and 56,689.84

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Solution

The fourth proportional to 140,958.15, 211,384.53 and 56,689.84 is: 85,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,958.15 : 211,384.53 = 56,689.84 : x
  2. Step 2: Convert to fraction form
    140,958.15/211,384.53 = 56,689.84/x
  3. Step 3: Cross multiply
    140,958.15x = 211,384.53 × 56,689.84
  4. Step 4: Simplify right side
    140,958.15x = 11,983,353,843.80
  5. Step 5: Solve for x
    x = 11,983,353,843.80/140,958.15
  6. Step 6: Final answer
    x = 85,013.56

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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.