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Finding the Fourth Proportional to 550,034.18, 825,051.92 and 150,678.39

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Solution

The fourth proportional to 550,034.18, 825,051.92 and 150,678.39 is: 226,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,034.18 : 825,051.92 = 150,678.39 : x
  2. Step 2: Convert to fraction form
    550,034.18/825,051.92 = 150,678.39/x
  3. Step 3: Cross multiply
    550,034.18x = 825,051.92 × 150,678.39
  4. Step 4: Simplify right side
    550,034.18x = 124,317,494,972.01
  5. Step 5: Solve for x
    x = 124,317,494,972.01/550,034.18
  6. Step 6: Final answer
    x = 226,017.76

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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.