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Finding the Fourth Proportional to 181,158.30, 271,737.45 and 164,828.70

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Solution

The fourth proportional to 181,158.30, 271,737.45 and 164,828.70 is: 247,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,158.30 : 271,737.45 = 164,828.70 : x
  2. Step 2: Convert to fraction form
    181,158.30/271,737.45 = 164,828.70/x
  3. Step 3: Cross multiply
    181,158.30x = 271,737.45 × 164,828.70
  4. Step 4: Simplify right side
    181,158.30x = 44,790,130,624.82
  5. Step 5: Solve for x
    x = 44,790,130,624.82/181,158.30
  6. Step 6: Final answer
    x = 247,243.05

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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.