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Finding the Fourth Proportional to 203,792.70, 306,017.10 and 153,929.10

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Solution

The fourth proportional to 203,792.70, 306,017.10 and 153,929.10 is: 231,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792.70 : 306,017.10 = 153,929.10 : x
  2. Step 2: Convert to fraction form
    203,792.70/306,017.10 = 153,929.10/x
  3. Step 3: Cross multiply
    203,792.70x = 306,017.10 × 153,929.10
  4. Step 4: Simplify right side
    203,792.70x = 47,104,936,787.61
  5. Step 5: Solve for x
    x = 47,104,936,787.61/203,792.70
  6. Step 6: Final answer
    x = 231,141.43

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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.