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Finding the Fourth Proportional to 129,832.36, 194,746.51 and 66,616

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Solution

The fourth proportional to 129,832.36, 194,746.51 and 66,616 is: 99,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,832.36 : 194,746.51 = 66,616 : x
  2. Step 2: Convert to fraction form
    129,832.36/194,746.51 = 66,616/x
  3. Step 3: Cross multiply
    129,832.36x = 194,746.51 × 66,616
  4. Step 4: Simplify right side
    129,832.36x = 12,973,233,510.16
  5. Step 5: Solve for x
    x = 12,973,233,510.16/129,832.36
  6. Step 6: Final answer
    x = 99,922.96

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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.