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Finding the Fourth Proportional to 550,045.86, 825,069.51 and 150,690.12

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Solution

The fourth proportional to 550,045.86, 825,069.51 and 150,690.12 is: 226,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,045.86 : 825,069.51 = 150,690.12 : x
  2. Step 2: Convert to fraction form
    550,045.86/825,069.51 = 150,690.12/x
  3. Step 3: Cross multiply
    550,045.86x = 825,069.51 × 150,690.12
  4. Step 4: Simplify right side
    550,045.86x = 124,329,823,470.24
  5. Step 5: Solve for x
    x = 124,329,823,470.24/550,045.86
  6. Step 6: Final answer
    x = 226,035.38

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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.