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Finding the Fourth Proportional to 218,875.92, 302,053.38 and 123,382.61

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Solution

The fourth proportional to 218,875.92, 302,053.38 and 123,382.61 is: 170,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,875.92 : 302,053.38 = 123,382.61 : x
  2. Step 2: Convert to fraction form
    218,875.92/302,053.38 = 123,382.61/x
  3. Step 3: Cross multiply
    218,875.92x = 302,053.38 × 123,382.61
  4. Step 4: Simplify right side
    218,875.92x = 37,268,135,138.86
  5. Step 5: Solve for x
    x = 37,268,135,138.86/218,875.92
  6. Step 6: Final answer
    x = 170,270.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.