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Finding the Fourth Proportional to 240,729.06, 361,142.19 and 165,885.06

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Solution

The fourth proportional to 240,729.06, 361,142.19 and 165,885.06 is: 248,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,729.06 : 361,142.19 = 165,885.06 : x
  2. Step 2: Convert to fraction form
    240,729.06/361,142.19 = 165,885.06/x
  3. Step 3: Cross multiply
    240,729.06x = 361,142.19 × 165,885.06
  4. Step 4: Simplify right side
    240,729.06x = 59,908,093,856.68
  5. Step 5: Solve for x
    x = 59,908,093,856.68/240,729.06
  6. Step 6: Final answer
    x = 248,861.08

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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.