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Finding the Fourth Proportional to 148,280, 222,443.04 and 49,807.04

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Solution

The fourth proportional to 148,280, 222,443.04 and 49,807.04 is: 74,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,280 : 222,443.04 = 49,807.04 : x
  2. Step 2: Convert to fraction form
    148,280/222,443.04 = 49,807.04/x
  3. Step 3: Cross multiply
    148,280x = 222,443.04 × 49,807.04
  4. Step 4: Simplify right side
    148,280x = 11,079,229,391.00
  5. Step 5: Solve for x
    x = 11,079,229,391.00/148,280
  6. Step 6: Final answer
    x = 74,718.30

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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.