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Finding the Fourth Proportional to 158,172.81, 218,196.73 and 107,168.08

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Solution

The fourth proportional to 158,172.81, 218,196.73 and 107,168.08 is: 147,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,172.81 : 218,196.73 = 107,168.08 : x
  2. Step 2: Convert to fraction form
    158,172.81/218,196.73 = 107,168.08/x
  3. Step 3: Cross multiply
    158,172.81x = 218,196.73 × 107,168.08
  4. Step 4: Simplify right side
    158,172.81x = 23,383,724,616.38
  5. Step 5: Solve for x
    x = 23,383,724,616.38/158,172.81
  6. Step 6: Final answer
    x = 147,836.56

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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.