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Finding the Fourth Proportional to 454,085.11, 681,184.22 and 154,542.67

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Solution

The fourth proportional to 454,085.11, 681,184.22 and 154,542.67 is: 231,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,085.11 : 681,184.22 = 154,542.67 : x
  2. Step 2: Convert to fraction form
    454,085.11/681,184.22 = 154,542.67/x
  3. Step 3: Cross multiply
    454,085.11x = 681,184.22 × 154,542.67
  4. Step 4: Simplify right side
    454,085.11x = 105,272,028,120.67
  5. Step 5: Solve for x
    x = 105,272,028,120.67/454,085.11
  6. Step 6: Final answer
    x = 231,833.25

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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.