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Finding the Fourth Proportional to 194,818.40, 292,227.60 and 148,162.40

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Solution

The fourth proportional to 194,818.40, 292,227.60 and 148,162.40 is: 222,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,818.40 : 292,227.60 = 148,162.40 : x
  2. Step 2: Convert to fraction form
    194,818.40/292,227.60 = 148,162.40/x
  3. Step 3: Cross multiply
    194,818.40x = 292,227.60 × 148,162.40
  4. Step 4: Simplify right side
    194,818.40x = 43,297,142,562.24
  5. Step 5: Solve for x
    x = 43,297,142,562.24/194,818.40
  6. Step 6: Final answer
    x = 222,243.60

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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.