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Finding the Fourth Proportional to 185,853.65, 278,791.02 and 52,723.46

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Solution

The fourth proportional to 185,853.65, 278,791.02 and 52,723.46 is: 79,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,853.65 : 278,791.02 = 52,723.46 : x
  2. Step 2: Convert to fraction form
    185,853.65/278,791.02 = 52,723.46/x
  3. Step 3: Cross multiply
    185,853.65x = 278,791.02 × 52,723.46
  4. Step 4: Simplify right side
    185,853.65x = 14,698,825,797.37
  5. Step 5: Solve for x
    x = 14,698,825,797.37/185,853.65
  6. Step 6: Final answer
    x = 79,088.18

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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.