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Finding the Fourth Proportional to 277,221.20, 415,734.60 and 144,057.20

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Solution

The fourth proportional to 277,221.20, 415,734.60 and 144,057.20 is: 216,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,221.20 : 415,734.60 = 144,057.20 : x
  2. Step 2: Convert to fraction form
    277,221.20/415,734.60 = 144,057.20/x
  3. Step 3: Cross multiply
    277,221.20x = 415,734.60 × 144,057.20
  4. Step 4: Simplify right side
    277,221.20x = 59,889,562,419.12
  5. Step 5: Solve for x
    x = 59,889,562,419.12/277,221.20
  6. Step 6: Final answer
    x = 216,035.29

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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.