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Finding the Fourth Proportional to 230,513.80, 345,764.62 and 97,358.30

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Solution

The fourth proportional to 230,513.80, 345,764.62 and 97,358.30 is: 146,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,513.80 : 345,764.62 = 97,358.30 : x
  2. Step 2: Convert to fraction form
    230,513.80/345,764.62 = 97,358.30/x
  3. Step 3: Cross multiply
    230,513.80x = 345,764.62 × 97,358.30
  4. Step 4: Simplify right side
    230,513.80x = 33,663,055,603.35
  5. Step 5: Solve for x
    x = 33,663,055,603.35/230,513.80
  6. Step 6: Final answer
    x = 146,034.88

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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.