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Finding the Fourth Proportional to 233,987.41, 322,902.70 and 132,034.49

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Solution

The fourth proportional to 233,987.41, 322,902.70 and 132,034.49 is: 182,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,987.41 : 322,902.70 = 132,034.49 : x
  2. Step 2: Convert to fraction form
    233,987.41/322,902.70 = 132,034.49/x
  3. Step 3: Cross multiply
    233,987.41x = 322,902.70 × 132,034.49
  4. Step 4: Simplify right side
    233,987.41x = 42,634,293,314.12
  5. Step 5: Solve for x
    x = 42,634,293,314.12/233,987.41
  6. Step 6: Final answer
    x = 182,207.64

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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.