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Finding the Fourth Proportional to 216,697.74, 325,074.24 and 83,616

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Solution

The fourth proportional to 216,697.74, 325,074.24 and 83,616 is: 125,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,697.74 : 325,074.24 = 83,616 : x
  2. Step 2: Convert to fraction form
    216,697.74/325,074.24 = 83,616/x
  3. Step 3: Cross multiply
    216,697.74x = 325,074.24 × 83,616
  4. Step 4: Simplify right side
    216,697.74x = 27,181,407,651.84
  5. Step 5: Solve for x
    x = 27,181,407,651.84/216,697.74
  6. Step 6: Final answer
    x = 125,434.66

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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.