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Finding the Fourth Proportional to 225,814.07, 338,688.16 and 65,847.04

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Solution

The fourth proportional to 225,814.07, 338,688.16 and 65,847.04 is: 98,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.07 : 338,688.16 = 65,847.04 : x
  2. Step 2: Convert to fraction form
    225,814.07/338,688.16 = 65,847.04/x
  3. Step 3: Cross multiply
    225,814.07x = 338,688.16 × 65,847.04
  4. Step 4: Simplify right side
    225,814.07x = 22,301,612,469.18
  5. Step 5: Solve for x
    x = 22,301,612,469.18/225,814.07
  6. Step 6: Final answer
    x = 98,760.95

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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.