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Finding the Fourth Proportional to 181,281.24, 271,927.22 and 86,521.41

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Solution

The fourth proportional to 181,281.24, 271,927.22 and 86,521.41 is: 129,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,281.24 : 271,927.22 = 86,521.41 : x
  2. Step 2: Convert to fraction form
    181,281.24/271,927.22 = 86,521.41/x
  3. Step 3: Cross multiply
    181,281.24x = 271,927.22 × 86,521.41
  4. Step 4: Simplify right side
    181,281.24x = 23,527,526,491.78
  5. Step 5: Solve for x
    x = 23,527,526,491.78/181,281.24
  6. Step 6: Final answer
    x = 129,784.67

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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.