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Finding the Fourth Proportional to 115,832.22, 159,834.96 and 64,847.74

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Solution

The fourth proportional to 115,832.22, 159,834.96 and 64,847.74 is: 89,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,832.22 : 159,834.96 = 64,847.74 : x
  2. Step 2: Convert to fraction form
    115,832.22/159,834.96 = 64,847.74/x
  3. Step 3: Cross multiply
    115,832.22x = 159,834.96 × 64,847.74
  4. Step 4: Simplify right side
    115,832.22x = 10,364,935,928.99
  5. Step 5: Solve for x
    x = 10,364,935,928.99/115,832.22
  6. Step 6: Final answer
    x = 89,482.32

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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.