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Finding the Fourth Proportional to 233,375.91, 322,062.87 and 137,882.40

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Solution

The fourth proportional to 233,375.91, 322,062.87 and 137,882.40 is: 190,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,375.91 : 322,062.87 = 137,882.40 : x
  2. Step 2: Convert to fraction form
    233,375.91/322,062.87 = 137,882.40/x
  3. Step 3: Cross multiply
    233,375.91x = 322,062.87 × 137,882.40
  4. Step 4: Simplify right side
    233,375.91x = 44,406,801,466.49
  5. Step 5: Solve for x
    x = 44,406,801,466.49/233,375.91
  6. Step 6: Final answer
    x = 190,280.14

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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.