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Finding the Fourth Proportional to 306,137.50, 422,474.80 and 168,322.26

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Solution

The fourth proportional to 306,137.50, 422,474.80 and 168,322.26 is: 232,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,137.50 : 422,474.80 = 168,322.26 : x
  2. Step 2: Convert to fraction form
    306,137.50/422,474.80 = 168,322.26/x
  3. Step 3: Cross multiply
    306,137.50x = 422,474.80 × 168,322.26
  4. Step 4: Simplify right side
    306,137.50x = 71,111,913,129.05
  5. Step 5: Solve for x
    x = 71,111,913,129.05/306,137.50
  6. Step 6: Final answer
    x = 232,287.50

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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.