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Finding the Fourth Proportional to 181,208.10, 271,812.15 and 154,964.10

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Solution

The fourth proportional to 181,208.10, 271,812.15 and 154,964.10 is: 232,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,208.10 : 271,812.15 = 154,964.10 : x
  2. Step 2: Convert to fraction form
    181,208.10/271,812.15 = 154,964.10/x
  3. Step 3: Cross multiply
    181,208.10x = 271,812.15 × 154,964.10
  4. Step 4: Simplify right side
    181,208.10x = 42,121,125,193.82
  5. Step 5: Solve for x
    x = 42,121,125,193.82/181,208.10
  6. Step 6: Final answer
    x = 232,446.15

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