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Finding the Fourth Proportional to 100,616.50, 138,850.77 and 55,904.50

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Solution

The fourth proportional to 100,616.50, 138,850.77 and 55,904.50 is: 77,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.50 : 138,850.77 = 55,904.50 : x
  2. Step 2: Convert to fraction form
    100,616.50/138,850.77 = 55,904.50/x
  3. Step 3: Cross multiply
    100,616.50x = 138,850.77 × 55,904.50
  4. Step 4: Simplify right side
    100,616.50x = 7,762,382,871.47
  5. Step 5: Solve for x
    x = 7,762,382,871.47/100,616.50
  6. Step 6: Final answer
    x = 77,148.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.