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Finding the Fourth Proportional to 306,057.80, 422,349.65 and 168,237.18

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Solution

The fourth proportional to 306,057.80, 422,349.65 and 168,237.18 is: 232,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.80 : 422,349.65 = 168,237.18 : x
  2. Step 2: Convert to fraction form
    306,057.80/422,349.65 = 168,237.18/x
  3. Step 3: Cross multiply
    306,057.80x = 422,349.65 × 168,237.18
  4. Step 4: Simplify right side
    306,057.80x = 71,054,913,248.80
  5. Step 5: Solve for x
    x = 71,054,913,248.80/306,057.80
  6. Step 6: Final answer
    x = 232,161.75

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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.