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Finding the Fourth Proportional to 185,145.86, 277,731.76 and 91,626.50

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Solution

The fourth proportional to 185,145.86, 277,731.76 and 91,626.50 is: 137,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,145.86 : 277,731.76 = 91,626.50 : x
  2. Step 2: Convert to fraction form
    185,145.86/277,731.76 = 91,626.50/x
  3. Step 3: Cross multiply
    185,145.86x = 277,731.76 × 91,626.50
  4. Step 4: Simplify right side
    185,145.86x = 25,447,589,107.64
  5. Step 5: Solve for x
    x = 25,447,589,107.64/185,145.86
  6. Step 6: Final answer
    x = 137,446.17

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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.