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Finding the Fourth Proportional to 232,911.78, 349,503.12 and 97,965.96

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Solution

The fourth proportional to 232,911.78, 349,503.12 and 97,965.96 is: 147,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,911.78 : 349,503.12 = 97,965.96 : x
  2. Step 2: Convert to fraction form
    232,911.78/349,503.12 = 97,965.96/x
  3. Step 3: Cross multiply
    232,911.78x = 349,503.12 × 97,965.96
  4. Step 4: Simplify right side
    232,911.78x = 34,239,408,673.80
  5. Step 5: Solve for x
    x = 34,239,408,673.80/232,911.78
  6. Step 6: Final answer
    x = 147,005.91

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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.