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Finding the Fourth Proportional to 188,463.68, 282,626.40 and 55,309.76

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Solution

The fourth proportional to 188,463.68, 282,626.40 and 55,309.76 is: 82,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,463.68 : 282,626.40 = 55,309.76 : x
  2. Step 2: Convert to fraction form
    188,463.68/282,626.40 = 55,309.76/x
  3. Step 3: Cross multiply
    188,463.68x = 282,626.40 × 55,309.76
  4. Step 4: Simplify right side
    188,463.68x = 15,631,998,353.66
  5. Step 5: Solve for x
    x = 15,631,998,353.66/188,463.68
  6. Step 6: Final answer
    x = 82,944.35

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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.