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Finding the Fourth Proportional to 109,309.51, 163,593.93 and 67,216.26

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Solution

The fourth proportional to 109,309.51, 163,593.93 and 67,216.26 is: 100,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.51 : 163,593.93 = 67,216.26 : x
  2. Step 2: Convert to fraction form
    109,309.51/163,593.93 = 67,216.26/x
  3. Step 3: Cross multiply
    109,309.51x = 163,593.93 × 67,216.26
  4. Step 4: Simplify right side
    109,309.51x = 10,996,172,133.30
  5. Step 5: Solve for x
    x = 10,996,172,133.30/109,309.51
  6. Step 6: Final answer
    x = 100,596.66

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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.