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Finding the Fourth Proportional to 140,778, 194,273.64 and 77,116.05

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Solution

The fourth proportional to 140,778, 194,273.64 and 77,116.05 is: 106,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778 : 194,273.64 = 77,116.05 : x
  2. Step 2: Convert to fraction form
    140,778/194,273.64 = 77,116.05/x
  3. Step 3: Cross multiply
    140,778x = 194,273.64 × 77,116.05
  4. Step 4: Simplify right side
    140,778x = 14,981,615,735.92
  5. Step 5: Solve for x
    x = 14,981,615,735.92/140,778
  6. Step 6: Final answer
    x = 106,420.15

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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.