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Finding the Fourth Proportional to 216,838.80, 325,314.90 and 83,723.40

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Solution

The fourth proportional to 216,838.80, 325,314.90 and 83,723.40 is: 125,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,838.80 : 325,314.90 = 83,723.40 : x
  2. Step 2: Convert to fraction form
    216,838.80/325,314.90 = 83,723.40/x
  3. Step 3: Cross multiply
    216,838.80x = 325,314.90 × 83,723.40
  4. Step 4: Simplify right side
    216,838.80x = 27,236,469,498.66
  5. Step 5: Solve for x
    x = 27,236,469,498.66/216,838.80
  6. Step 6: Final answer
    x = 125,606.99

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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.