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Finding the Fourth Proportional to 158,120.65, 218,271.42 and 107,203.12

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Solution

The fourth proportional to 158,120.65, 218,271.42 and 107,203.12 is: 147,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,120.65 : 218,271.42 = 107,203.12 : x
  2. Step 2: Convert to fraction form
    158,120.65/218,271.42 = 107,203.12/x
  3. Step 3: Cross multiply
    158,120.65x = 218,271.42 × 107,203.12
  4. Step 4: Simplify right side
    158,120.65x = 23,399,377,230.83
  5. Step 5: Solve for x
    x = 23,399,377,230.83/158,120.65
  6. Step 6: Final answer
    x = 147,984.32

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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.