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Finding the Fourth Proportional to 181,461.64, 271,990.76 and 136,944.04

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Solution

The fourth proportional to 181,461.64, 271,990.76 and 136,944.04 is: 205,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,461.64 : 271,990.76 = 136,944.04 : x
  2. Step 2: Convert to fraction form
    181,461.64/271,990.76 = 136,944.04/x
  3. Step 3: Cross multiply
    181,461.64x = 271,990.76 × 136,944.04
  4. Step 4: Simplify right side
    181,461.64x = 37,247,513,517.07
  5. Step 5: Solve for x
    x = 37,247,513,517.07/181,461.64
  6. Step 6: Final answer
    x = 205,263.84

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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.