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Finding the Fourth Proportional to 222,764.40, 334,141.80 and 148,361.20

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Solution

The fourth proportional to 222,764.40, 334,141.80 and 148,361.20 is: 222,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,764.40 : 334,141.80 = 148,361.20 : x
  2. Step 2: Convert to fraction form
    222,764.40/334,141.80 = 148,361.20/x
  3. Step 3: Cross multiply
    222,764.40x = 334,141.80 × 148,361.20
  4. Step 4: Simplify right side
    222,764.40x = 49,573,678,418.16
  5. Step 5: Solve for x
    x = 49,573,678,418.16/222,764.40
  6. Step 6: Final answer
    x = 222,538.60

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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.