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Finding the Fourth Proportional to 270,298.73, 373,006.41 and 149,445.11

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Solution

The fourth proportional to 270,298.73, 373,006.41 and 149,445.11 is: 206,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,298.73 : 373,006.41 = 149,445.11 : x
  2. Step 2: Convert to fraction form
    270,298.73/373,006.41 = 149,445.11/x
  3. Step 3: Cross multiply
    270,298.73x = 373,006.41 × 149,445.11
  4. Step 4: Simplify right side
    270,298.73x = 55,743,983,973.16
  5. Step 5: Solve for x
    x = 55,743,983,973.16/270,298.73
  6. Step 6: Final answer
    x = 206,231.02

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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.