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Finding the Fourth Proportional to 76,222.48, 114,309.48 and 71,247.10

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Solution

The fourth proportional to 76,222.48, 114,309.48 and 71,247.10 is: 106,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.48 : 114,309.48 = 71,247.10 : x
  2. Step 2: Convert to fraction form
    76,222.48/114,309.48 = 71,247.10/x
  3. Step 3: Cross multiply
    76,222.48x = 114,309.48 × 71,247.10
  4. Step 4: Simplify right side
    76,222.48x = 8,144,218,952.51
  5. Step 5: Solve for x
    x = 8,144,218,952.51/76,222.48
  6. Step 6: Final answer
    x = 106,847.99

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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.