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Finding the Fourth Proportional to 232,869.96, 349,012.86 and 99,593.76

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Solution

The fourth proportional to 232,869.96, 349,012.86 and 99,593.76 is: 149,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,869.96 : 349,012.86 = 99,593.76 : x
  2. Step 2: Convert to fraction form
    232,869.96/349,012.86 = 99,593.76/x
  3. Step 3: Cross multiply
    232,869.96x = 349,012.86 × 99,593.76
  4. Step 4: Simplify right side
    232,869.96x = 34,759,503,015.75
  5. Step 5: Solve for x
    x = 34,759,503,015.75/232,869.96
  6. Step 6: Final answer
    x = 149,265.72

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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.