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Finding the Fourth Proportional to 205,233.58, 308,002.74 and 155,376.46

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Solution

The fourth proportional to 205,233.58, 308,002.74 and 155,376.46 is: 233,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.58 : 308,002.74 = 155,376.46 : x
  2. Step 2: Convert to fraction form
    205,233.58/308,002.74 = 155,376.46/x
  3. Step 3: Cross multiply
    205,233.58x = 308,002.74 × 155,376.46
  4. Step 4: Simplify right side
    205,233.58x = 47,856,375,411.50
  5. Step 5: Solve for x
    x = 47,856,375,411.50/205,233.58
  6. Step 6: Final answer
    x = 233,180.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.