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Finding the Fourth Proportional to 230,279.94, 345,466.47 and 97,160.52

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Solution

The fourth proportional to 230,279.94, 345,466.47 and 97,160.52 is: 145,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,279.94 : 345,466.47 = 97,160.52 : x
  2. Step 2: Convert to fraction form
    230,279.94/345,466.47 = 97,160.52/x
  3. Step 3: Cross multiply
    230,279.94x = 345,466.47 × 97,160.52
  4. Step 4: Simplify right side
    230,279.94x = 33,565,701,867.76
  5. Step 5: Solve for x
    x = 33,565,701,867.76/230,279.94
  6. Step 6: Final answer
    x = 145,760.42

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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.