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Finding the Fourth Proportional to 233,148.74, 321,757.10 and 137,653.38

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Solution

The fourth proportional to 233,148.74, 321,757.10 and 137,653.38 is: 189,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148.74 : 321,757.10 = 137,653.38 : x
  2. Step 2: Convert to fraction form
    233,148.74/321,757.10 = 137,653.38/x
  3. Step 3: Cross multiply
    233,148.74x = 321,757.10 × 137,653.38
  4. Step 4: Simplify right side
    233,148.74x = 44,290,951,665.73
  5. Step 5: Solve for x
    x = 44,290,951,665.73/233,148.74
  6. Step 6: Final answer
    x = 189,968.66

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1.5x scale

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.