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Finding the Fourth Proportional to 233,397, 322,146.18 and 132,853.32

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Solution

The fourth proportional to 233,397, 322,146.18 and 132,853.32 is: 183,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,397 : 322,146.18 = 132,853.32 : x
  2. Step 2: Convert to fraction form
    233,397/322,146.18 = 132,853.32/x
  3. Step 3: Cross multiply
    233,397x = 322,146.18 × 132,853.32
  4. Step 4: Simplify right side
    233,397x = 42,798,189,538.32
  5. Step 5: Solve for x
    x = 42,798,189,538.32/233,397
  6. Step 6: Final answer
    x = 183,370.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.