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Finding the Fourth Proportional to 185,324.86, 277,881.94 and 72,944.14

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Solution

The fourth proportional to 185,324.86, 277,881.94 and 72,944.14 is: 109,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,324.86 : 277,881.94 = 72,944.14 : x
  2. Step 2: Convert to fraction form
    185,324.86/277,881.94 = 72,944.14/x
  3. Step 3: Cross multiply
    185,324.86x = 277,881.94 × 72,944.14
  4. Step 4: Simplify right side
    185,324.86x = 20,269,859,134.83
  5. Step 5: Solve for x
    x = 20,269,859,134.83/185,324.86
  6. Step 6: Final answer
    x = 109,374.74

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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.