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Finding the Fourth Proportional to 181,496.64, 271,967.76 and 76,258.08

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Solution

The fourth proportional to 181,496.64, 271,967.76 and 76,258.08 is: 114,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,496.64 : 271,967.76 = 76,258.08 : x
  2. Step 2: Convert to fraction form
    181,496.64/271,967.76 = 76,258.08/x
  3. Step 3: Cross multiply
    181,496.64x = 271,967.76 × 76,258.08
  4. Step 4: Simplify right side
    181,496.64x = 20,739,739,199.50
  5. Step 5: Solve for x
    x = 20,739,739,199.50/181,496.64
  6. Step 6: Final answer
    x = 114,270.65

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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.