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Finding the Fourth Proportional to 274,226.39, 411,002.68 and 154,030.68

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Solution

The fourth proportional to 274,226.39, 411,002.68 and 154,030.68 is: 230,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,226.39 : 411,002.68 = 154,030.68 : x
  2. Step 2: Convert to fraction form
    274,226.39/411,002.68 = 154,030.68/x
  3. Step 3: Cross multiply
    274,226.39x = 411,002.68 × 154,030.68
  4. Step 4: Simplify right side
    274,226.39x = 63,307,022,282.22
  5. Step 5: Solve for x
    x = 63,307,022,282.22/274,226.39
  6. Step 6: Final answer
    x = 230,856.78

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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.