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Finding the Fourth Proportional to 148,013.50, 222,053.04 and 69,084.64

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Solution

The fourth proportional to 148,013.50, 222,053.04 and 69,084.64 is: 103,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,013.50 : 222,053.04 = 69,084.64 : x
  2. Step 2: Convert to fraction form
    148,013.50/222,053.04 = 69,084.64/x
  3. Step 3: Cross multiply
    148,013.50x = 222,053.04 × 69,084.64
  4. Step 4: Simplify right side
    148,013.50x = 15,340,454,329.31
  5. Step 5: Solve for x
    x = 15,340,454,329.31/148,013.50
  6. Step 6: Final answer
    x = 103,642.26

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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.