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Finding the Fourth Proportional to 192,025.60, 264,993.06 and 105,985.24

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Solution

The fourth proportional to 192,025.60, 264,993.06 and 105,985.24 is: 146,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,025.60 : 264,993.06 = 105,985.24 : x
  2. Step 2: Convert to fraction form
    192,025.60/264,993.06 = 105,985.24/x
  3. Step 3: Cross multiply
    192,025.60x = 264,993.06 × 105,985.24
  4. Step 4: Simplify right side
    192,025.60x = 28,085,353,062.43
  5. Step 5: Solve for x
    x = 28,085,353,062.43/192,025.60
  6. Step 6: Final answer
    x = 146,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.