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Finding the Fourth Proportional to 168,605.46, 232,784.01 and 108,202.14

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Solution

The fourth proportional to 168,605.46, 232,784.01 and 108,202.14 is: 149,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,605.46 : 232,784.01 = 108,202.14 : x
  2. Step 2: Convert to fraction form
    168,605.46/232,784.01 = 108,202.14/x
  3. Step 3: Cross multiply
    168,605.46x = 232,784.01 × 108,202.14
  4. Step 4: Simplify right side
    168,605.46x = 25,187,728,039.78
  5. Step 5: Solve for x
    x = 25,187,728,039.78/168,605.46
  6. Step 6: Final answer
    x = 149,388.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.