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Finding the Fourth Proportional to 274,957.74, 412,485.57 and 141,802.02

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Solution

The fourth proportional to 274,957.74, 412,485.57 and 141,802.02 is: 212,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,957.74 : 412,485.57 = 141,802.02 : x
  2. Step 2: Convert to fraction form
    274,957.74/412,485.57 = 141,802.02/x
  3. Step 3: Cross multiply
    274,957.74x = 412,485.57 × 141,802.02
  4. Step 4: Simplify right side
    274,957.74x = 58,491,287,046.85
  5. Step 5: Solve for x
    x = 58,491,287,046.85/274,957.74
  6. Step 6: Final answer
    x = 212,728.28

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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.