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Finding the Fourth Proportional to 214,323.40, 321,538.86 and 64,560.52

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Solution

The fourth proportional to 214,323.40, 321,538.86 and 64,560.52 is: 96,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,323.40 : 321,538.86 = 64,560.52 : x
  2. Step 2: Convert to fraction form
    214,323.40/321,538.86 = 64,560.52/x
  3. Step 3: Cross multiply
    214,323.40x = 321,538.86 × 64,560.52
  4. Step 4: Simplify right side
    214,323.40x = 20,758,716,001.81
  5. Step 5: Solve for x
    x = 20,758,716,001.81/214,323.40
  6. Step 6: Final answer
    x = 96,856.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.