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Finding the Fourth Proportional to 119,297.65, 178,941.79 and 40,411.87

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Solution

The fourth proportional to 119,297.65, 178,941.79 and 40,411.87 is: 60,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,297.65 : 178,941.79 = 40,411.87 : x
  2. Step 2: Convert to fraction form
    119,297.65/178,941.79 = 40,411.87/x
  3. Step 3: Cross multiply
    119,297.65x = 178,941.79 × 40,411.87
  4. Step 4: Simplify right side
    119,297.65x = 7,231,372,355.05
  5. Step 5: Solve for x
    x = 7,231,372,355.05/119,297.65
  6. Step 6: Final answer
    x = 60,616.22

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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.