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Finding the Fourth Proportional to 181,258.95, 271,993.75 and 74,653.64

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Solution

The fourth proportional to 181,258.95, 271,993.75 and 74,653.64 is: 112,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,258.95 : 271,993.75 = 74,653.64 : x
  2. Step 2: Convert to fraction form
    181,258.95/271,993.75 = 74,653.64/x
  3. Step 3: Cross multiply
    181,258.95x = 271,993.75 × 74,653.64
  4. Step 4: Simplify right side
    181,258.95x = 20,305,323,494.75
  5. Step 5: Solve for x
    x = 20,305,323,494.75/181,258.95
  6. Step 6: Final answer
    x = 112,023.84

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Why These Related Problems?

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