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Finding the Fourth Proportional to 140,752.38, 194,231.01 and 77,077.89

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Solution

The fourth proportional to 140,752.38, 194,231.01 and 77,077.89 is: 106,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,752.38 : 194,231.01 = 77,077.89 : x
  2. Step 2: Convert to fraction form
    140,752.38/194,231.01 = 77,077.89/x
  3. Step 3: Cross multiply
    140,752.38x = 194,231.01 × 77,077.89
  4. Step 4: Simplify right side
    140,752.38x = 14,970,916,423.37
  5. Step 5: Solve for x
    x = 14,970,916,423.37/140,752.38
  6. Step 6: Final answer
    x = 106,363.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.