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Finding the Fourth Proportional to 275,973.40, 414,032.94 and 149,557.48

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Solution

The fourth proportional to 275,973.40, 414,032.94 and 149,557.48 is: 224,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,973.40 : 414,032.94 = 149,557.48 : x
  2. Step 2: Convert to fraction form
    275,973.40/414,032.94 = 149,557.48/x
  3. Step 3: Cross multiply
    275,973.40x = 414,032.94 × 149,557.48
  4. Step 4: Simplify right side
    275,973.40x = 61,921,723,143.39
  5. Step 5: Solve for x
    x = 61,921,723,143.39/275,973.40
  6. Step 6: Final answer
    x = 224,375.69

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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.