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Finding the Fourth Proportional to 190,691.76, 263,154.78 and 105,808.76

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Solution

The fourth proportional to 190,691.76, 263,154.78 and 105,808.76 is: 146,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,691.76 : 263,154.78 = 105,808.76 : x
  2. Step 2: Convert to fraction form
    190,691.76/263,154.78 = 105,808.76/x
  3. Step 3: Cross multiply
    190,691.76x = 263,154.78 × 105,808.76
  4. Step 4: Simplify right side
    190,691.76x = 27,844,079,644.10
  5. Step 5: Solve for x
    x = 27,844,079,644.10/190,691.76
  6. Step 6: Final answer
    x = 146,016.17

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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.