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Finding the Fourth Proportional to 158,119.65, 218,270.04 and 107,202.12

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Solution

The fourth proportional to 158,119.65, 218,270.04 and 107,202.12 is: 147,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,119.65 : 218,270.04 = 107,202.12 : x
  2. Step 2: Convert to fraction form
    158,119.65/218,270.04 = 107,202.12/x
  3. Step 3: Cross multiply
    158,119.65x = 218,270.04 × 107,202.12
  4. Step 4: Simplify right side
    158,119.65x = 23,399,011,020.48
  5. Step 5: Solve for x
    x = 23,399,011,020.48/158,119.65
  6. Step 6: Final answer
    x = 147,982.94

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