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Finding the Fourth Proportional to 148,965.45, 223,448.18 and 148,965.45

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Solution

The fourth proportional to 148,965.45, 223,448.18 and 148,965.45 is: 223,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965.45 : 223,448.18 = 148,965.45 : x
  2. Step 2: Convert to fraction form
    148,965.45/223,448.18 = 148,965.45/x
  3. Step 3: Cross multiply
    148,965.45x = 223,448.18 × 148,965.45
  4. Step 4: Simplify right side
    148,965.45x = 33,286,057,940.55
  5. Step 5: Solve for x
    x = 33,286,057,940.55/148,965.45
  6. Step 6: Final answer
    x = 223,448.18

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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.