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Finding the Fourth Proportional to 233,912.74, 322,799.01 and 126,482.44

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Solution

The fourth proportional to 233,912.74, 322,799.01 and 126,482.44 is: 174,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,912.74 : 322,799.01 = 126,482.44 : x
  2. Step 2: Convert to fraction form
    233,912.74/322,799.01 = 126,482.44/x
  3. Step 3: Cross multiply
    233,912.74x = 322,799.01 × 126,482.44
  4. Step 4: Simplify right side
    233,912.74x = 40,828,406,414.38
  5. Step 5: Solve for x
    x = 40,828,406,414.38/233,912.74
  6. Step 6: Final answer
    x = 174,545.46

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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.