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Finding the Fourth Proportional to 233,152.67, 349,728.96 and 154,248.41

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Solution

The fourth proportional to 233,152.67, 349,728.96 and 154,248.41 is: 231,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,152.67 : 349,728.96 = 154,248.41 : x
  2. Step 2: Convert to fraction form
    233,152.67/349,728.96 = 154,248.41/x
  3. Step 3: Cross multiply
    233,152.67x = 349,728.96 × 154,248.41
  4. Step 4: Simplify right side
    233,152.67x = 53,945,136,010.95
  5. Step 5: Solve for x
    x = 53,945,136,010.95/233,152.67
  6. Step 6: Final answer
    x = 231,372.59

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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.