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Finding the Fourth Proportional to 268,151.94, 402,227.85 and 68,465.19

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Solution

The fourth proportional to 268,151.94, 402,227.85 and 68,465.19 is: 102,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,151.94 : 402,227.85 = 68,465.19 : x
  2. Step 2: Convert to fraction form
    268,151.94/402,227.85 = 68,465.19/x
  3. Step 3: Cross multiply
    268,151.94x = 402,227.85 × 68,465.19
  4. Step 4: Simplify right side
    268,151.94x = 27,538,606,173.54
  5. Step 5: Solve for x
    x = 27,538,606,173.54/268,151.94
  6. Step 6: Final answer
    x = 102,697.77

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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.