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Finding the Fourth Proportional to 185,338.86, 277,902.81 and 72,958.14

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Solution

The fourth proportional to 185,338.86, 277,902.81 and 72,958.14 is: 109,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,338.86 : 277,902.81 = 72,958.14 : x
  2. Step 2: Convert to fraction form
    185,338.86/277,902.81 = 72,958.14/x
  3. Step 3: Cross multiply
    185,338.86x = 277,902.81 × 72,958.14
  4. Step 4: Simplify right side
    185,338.86x = 20,275,272,118.37
  5. Step 5: Solve for x
    x = 20,275,272,118.37/185,338.86
  6. Step 6: Final answer
    x = 109,395.69

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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.