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Finding the Fourth Proportional to 140,666.82, 211,000.29 and 61,781.73

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Solution

The fourth proportional to 140,666.82, 211,000.29 and 61,781.73 is: 92,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,666.82 : 211,000.29 = 61,781.73 : x
  2. Step 2: Convert to fraction form
    140,666.82/211,000.29 = 61,781.73/x
  3. Step 3: Cross multiply
    140,666.82x = 211,000.29 × 61,781.73
  4. Step 4: Simplify right side
    140,666.82x = 13,035,962,946.70
  5. Step 5: Solve for x
    x = 13,035,962,946.70/140,666.82
  6. Step 6: Final answer
    x = 92,672.62

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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.