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Finding the Fourth Proportional to 223,331.38, 308,358.19 and 137,405.97

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Solution

The fourth proportional to 223,331.38, 308,358.19 and 137,405.97 is: 189,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,331.38 : 308,358.19 = 137,405.97 : x
  2. Step 2: Convert to fraction form
    223,331.38/308,358.19 = 137,405.97/x
  3. Step 3: Cross multiply
    223,331.38x = 308,358.19 × 137,405.97
  4. Step 4: Simplify right side
    223,331.38x = 42,370,256,376.15
  5. Step 5: Solve for x
    x = 42,370,256,376.15/223,331.38
  6. Step 6: Final answer
    x = 189,719.23

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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.