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Finding the Fourth Proportional to 550,140.13, 825,203.49 and 150,780.58

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Solution

The fourth proportional to 550,140.13, 825,203.49 and 150,780.58 is: 226,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,140.13 : 825,203.49 = 150,780.58 : x
  2. Step 2: Convert to fraction form
    550,140.13/825,203.49 = 150,780.58/x
  3. Step 3: Cross multiply
    550,140.13x = 825,203.49 × 150,780.58
  4. Step 4: Simplify right side
    550,140.13x = 124,424,660,840.22
  5. Step 5: Solve for x
    x = 124,424,660,840.22/550,140.13
  6. Step 6: Final answer
    x = 226,169.03

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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.