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Finding the Fourth Proportional to 253,744.40, 380,616.60 and 148,509.20

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Solution

The fourth proportional to 253,744.40, 380,616.60 and 148,509.20 is: 222,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,744.40 : 380,616.60 = 148,509.20 : x
  2. Step 2: Convert to fraction form
    253,744.40/380,616.60 = 148,509.20/x
  3. Step 3: Cross multiply
    253,744.40x = 380,616.60 × 148,509.20
  4. Step 4: Simplify right side
    253,744.40x = 56,525,066,772.72
  5. Step 5: Solve for x
    x = 56,525,066,772.72/253,744.40
  6. Step 6: Final answer
    x = 222,763.80

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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.