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Finding the Fourth Proportional to 181,497.84, 271,872.24 and 106,389.90

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Solution

The fourth proportional to 181,497.84, 271,872.24 and 106,389.90 is: 159,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,497.84 : 271,872.24 = 106,389.90 : x
  2. Step 2: Convert to fraction form
    181,497.84/271,872.24 = 106,389.90/x
  3. Step 3: Cross multiply
    181,497.84x = 271,872.24 × 106,389.90
  4. Step 4: Simplify right side
    181,497.84x = 28,924,460,426.38
  5. Step 5: Solve for x
    x = 28,924,460,426.38/181,497.84
  6. Step 6: Final answer
    x = 159,365.31

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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.