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Finding the Fourth Proportional to 308,574.86, 462,872.51 and 106,169.01

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Solution

The fourth proportional to 308,574.86, 462,872.51 and 106,169.01 is: 159,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,574.86 : 462,872.51 = 106,169.01 : x
  2. Step 2: Convert to fraction form
    308,574.86/462,872.51 = 106,169.01/x
  3. Step 3: Cross multiply
    308,574.86x = 462,872.51 × 106,169.01
  4. Step 4: Simplify right side
    308,574.86x = 49,142,715,612.07
  5. Step 5: Solve for x
    x = 49,142,715,612.07/308,574.86
  6. Step 6: Final answer
    x = 159,257.03

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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.