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Finding the Fourth Proportional to 185,364.70, 278,047.05 and 110,569.30

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Solution

The fourth proportional to 185,364.70, 278,047.05 and 110,569.30 is: 165,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,364.70 : 278,047.05 = 110,569.30 : x
  2. Step 2: Convert to fraction form
    185,364.70/278,047.05 = 110,569.30/x
  3. Step 3: Cross multiply
    185,364.70x = 278,047.05 × 110,569.30
  4. Step 4: Simplify right side
    185,364.70x = 30,743,467,685.57
  5. Step 5: Solve for x
    x = 30,743,467,685.57/185,364.70
  6. Step 6: Final answer
    x = 165,853.95

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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.