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Finding the Fourth Proportional to 144,478.32, 198,964.24 and 119,094.56

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Solution

The fourth proportional to 144,478.32, 198,964.24 and 119,094.56 is: 164,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,478.32 : 198,964.24 = 119,094.56 : x
  2. Step 2: Convert to fraction form
    144,478.32/198,964.24 = 119,094.56/x
  3. Step 3: Cross multiply
    144,478.32x = 198,964.24 × 119,094.56
  4. Step 4: Simplify right side
    144,478.32x = 23,695,558,618.53
  5. Step 5: Solve for x
    x = 23,695,558,618.53/144,478.32
  6. Step 6: Final answer
    x = 164,007.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.