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Finding the Fourth Proportional to 234,642.96, 324,074.57 and 159,060.24

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Solution

The fourth proportional to 234,642.96, 324,074.57 and 159,060.24 is: 219,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,642.96 : 324,074.57 = 159,060.24 : x
  2. Step 2: Convert to fraction form
    234,642.96/324,074.57 = 159,060.24/x
  3. Step 3: Cross multiply
    234,642.96x = 324,074.57 × 159,060.24
  4. Step 4: Simplify right side
    234,642.96x = 51,547,378,086.80
  5. Step 5: Solve for x
    x = 51,547,378,086.80/234,642.96
  6. Step 6: Final answer
    x = 219,684.32

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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.