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Finding the Fourth Proportional to 233,187.30, 321,788.97 and 137,724.90

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Solution

The fourth proportional to 233,187.30, 321,788.97 and 137,724.90 is: 190,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.30 : 321,788.97 = 137,724.90 : x
  2. Step 2: Convert to fraction form
    233,187.30/321,788.97 = 137,724.90/x
  3. Step 3: Cross multiply
    233,187.30x = 321,788.97 × 137,724.90
  4. Step 4: Simplify right side
    233,187.30x = 44,318,353,714.35
  5. Step 5: Solve for x
    x = 44,318,353,714.35/233,187.30
  6. Step 6: Final answer
    x = 190,054.75

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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.