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Finding the Fourth Proportional to 230,523.14, 345,784.72 and 72,862.32

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Solution

The fourth proportional to 230,523.14, 345,784.72 and 72,862.32 is: 109,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,523.14 : 345,784.72 = 72,862.32 : x
  2. Step 2: Convert to fraction form
    230,523.14/345,784.72 = 72,862.32/x
  3. Step 3: Cross multiply
    230,523.14x = 345,784.72 × 72,862.32
  4. Step 4: Simplify right side
    230,523.14x = 25,194,676,919.75
  5. Step 5: Solve for x
    x = 25,194,676,919.75/230,523.14
  6. Step 6: Final answer
    x = 109,293.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.