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Finding the Fourth Proportional to 222,515.93, 334,023.01 and 147,782.04

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Solution

The fourth proportional to 222,515.93, 334,023.01 and 147,782.04 is: 221,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,515.93 : 334,023.01 = 147,782.04 : x
  2. Step 2: Convert to fraction form
    222,515.93/334,023.01 = 147,782.04/x
  3. Step 3: Cross multiply
    222,515.93x = 334,023.01 × 147,782.04
  4. Step 4: Simplify right side
    222,515.93x = 49,362,601,630.55
  5. Step 5: Solve for x
    x = 49,362,601,630.55/222,515.93
  6. Step 6: Final answer
    x = 221,838.51

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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.