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Finding the Fourth Proportional to 149,105.49, 205,482.12 and 106,590.21

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Solution

The fourth proportional to 149,105.49, 205,482.12 and 106,590.21 is: 146,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,105.49 : 205,482.12 = 106,590.21 : x
  2. Step 2: Convert to fraction form
    149,105.49/205,482.12 = 106,590.21/x
  3. Step 3: Cross multiply
    149,105.49x = 205,482.12 × 106,590.21
  4. Step 4: Simplify right side
    149,105.49x = 21,902,382,322.05
  5. Step 5: Solve for x
    x = 21,902,382,322.05/149,105.49
  6. Step 6: Final answer
    x = 146,891.86

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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.