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Finding the Fourth Proportional to 181,491.30, 271,718.55 and 162,828.90

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Solution

The fourth proportional to 181,491.30, 271,718.55 and 162,828.90 is: 243,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,491.30 : 271,718.55 = 162,828.90 : x
  2. Step 2: Convert to fraction form
    181,491.30/271,718.55 = 162,828.90/x
  3. Step 3: Cross multiply
    181,491.30x = 271,718.55 × 162,828.90
  4. Step 4: Simplify right side
    181,491.30x = 44,243,632,606.10
  5. Step 5: Solve for x
    x = 44,243,632,606.10/181,491.30
  6. Step 6: Final answer
    x = 243,778.26

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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.