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Finding the Fourth Proportional to 185,570.82, 278,503.83 and 67,275.90

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Solution

The fourth proportional to 185,570.82, 278,503.83 and 67,275.90 is: 100,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,570.82 : 278,503.83 = 67,275.90 : x
  2. Step 2: Convert to fraction form
    185,570.82/278,503.83 = 67,275.90/x
  3. Step 3: Cross multiply
    185,570.82x = 278,503.83 × 67,275.90
  4. Step 4: Simplify right side
    185,570.82x = 18,736,595,816.70
  5. Step 5: Solve for x
    x = 18,736,595,816.70/185,570.82
  6. Step 6: Final answer
    x = 100,967.36

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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.