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Finding the Fourth Proportional to 343,896.80, 515,845.20 and 144,150.80

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Solution

The fourth proportional to 343,896.80, 515,845.20 and 144,150.80 is: 216,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,896.80 : 515,845.20 = 144,150.80 : x
  2. Step 2: Convert to fraction form
    343,896.80/515,845.20 = 144,150.80/x
  3. Step 3: Cross multiply
    343,896.80x = 515,845.20 × 144,150.80
  4. Step 4: Simplify right side
    343,896.80x = 74,359,498,256.16
  5. Step 5: Solve for x
    x = 74,359,498,256.16/343,896.80
  6. Step 6: Final answer
    x = 216,226.20

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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.