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Finding the Fourth Proportional to 109,984.20, 164,684.70 and 86,656.20

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Solution

The fourth proportional to 109,984.20, 164,684.70 and 86,656.20 is: 129,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,984.20 : 164,684.70 = 86,656.20 : x
  2. Step 2: Convert to fraction form
    109,984.20/164,684.70 = 86,656.20/x
  3. Step 3: Cross multiply
    109,984.20x = 164,684.70 × 86,656.20
  4. Step 4: Simplify right side
    109,984.20x = 14,270,950,300.14
  5. Step 5: Solve for x
    x = 14,270,950,300.14/109,984.20
  6. Step 6: Final answer
    x = 129,754.55

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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.