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Finding the Fourth Proportional to 550,222.25, 825,278.09 and 150,903.18

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Solution

The fourth proportional to 550,222.25, 825,278.09 and 150,903.18 is: 226,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,222.25 : 825,278.09 = 150,903.18 : x
  2. Step 2: Convert to fraction form
    550,222.25/825,278.09 = 150,903.18/x
  3. Step 3: Cross multiply
    550,222.25x = 825,278.09 × 150,903.18
  4. Step 4: Simplify right side
    550,222.25x = 124,537,087,410.81
  5. Step 5: Solve for x
    x = 124,537,087,410.81/550,222.25
  6. Step 6: Final answer
    x = 226,339.61

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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.