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Finding the Fourth Proportional to 140,944.77, 211,384.80 and 84,034.77

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Solution

The fourth proportional to 140,944.77, 211,384.80 and 84,034.77 is: 126,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,944.77 : 211,384.80 = 84,034.77 : x
  2. Step 2: Convert to fraction form
    140,944.77/211,384.80 = 84,034.77/x
  3. Step 3: Cross multiply
    140,944.77x = 211,384.80 × 84,034.77
  4. Step 4: Simplify right side
    140,944.77x = 17,763,673,157.78
  5. Step 5: Solve for x
    x = 17,763,673,157.78/140,944.77
  6. Step 6: Final answer
    x = 126,032.87

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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.