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Finding the Fourth Proportional to 225,107.76, 337,418.64 and 146,278.56

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Solution

The fourth proportional to 225,107.76, 337,418.64 and 146,278.56 is: 219,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,107.76 : 337,418.64 = 146,278.56 : x
  2. Step 2: Convert to fraction form
    225,107.76/337,418.64 = 146,278.56/x
  3. Step 3: Cross multiply
    225,107.76x = 337,418.64 × 146,278.56
  4. Step 4: Simplify right side
    225,107.76x = 49,357,112,776.36
  5. Step 5: Solve for x
    x = 49,357,112,776.36/225,107.76
  6. Step 6: Final answer
    x = 219,259.93

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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.