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Finding the Fourth Proportional to 202,016.74, 278,783.65 and 121,490.38

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Solution

The fourth proportional to 202,016.74, 278,783.65 and 121,490.38 is: 167,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.74 : 278,783.65 = 121,490.38 : x
  2. Step 2: Convert to fraction form
    202,016.74/278,783.65 = 121,490.38/x
  3. Step 3: Cross multiply
    202,016.74x = 278,783.65 × 121,490.38
  4. Step 4: Simplify right side
    202,016.74x = 33,869,531,576.29
  5. Step 5: Solve for x
    x = 33,869,531,576.29/202,016.74
  6. Step 6: Final answer
    x = 167,657.05

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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.