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Finding the Fourth Proportional to 143,405, 197,904.54 and 78,880.24

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Solution

The fourth proportional to 143,405, 197,904.54 and 78,880.24 is: 108,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,405 : 197,904.54 = 78,880.24 : x
  2. Step 2: Convert to fraction form
    143,405/197,904.54 = 78,880.24/x
  3. Step 3: Cross multiply
    143,405x = 197,904.54 × 78,880.24
  4. Step 4: Simplify right side
    143,405x = 15,610,757,612.29
  5. Step 5: Solve for x
    x = 15,610,757,612.29/143,405
  6. Step 6: Final answer
    x = 108,857.83

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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.