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Finding the Fourth Proportional to 230,523, 345,920.62 and 97,394.68

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Solution

The fourth proportional to 230,523, 345,920.62 and 97,394.68 is: 146,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,523 : 345,920.62 = 97,394.68 : x
  2. Step 2: Convert to fraction form
    230,523/345,920.62 = 97,394.68/x
  3. Step 3: Cross multiply
    230,523x = 345,920.62 × 97,394.68
  4. Step 4: Simplify right side
    230,523x = 33,690,828,090.30
  5. Step 5: Solve for x
    x = 33,690,828,090.30/230,523
  6. Step 6: Final answer
    x = 146,149.53

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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.