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Finding the Fourth Proportional to 149,267, 205,985.51 and 81,284.78

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Solution

The fourth proportional to 149,267, 205,985.51 and 81,284.78 is: 112,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,267 : 205,985.51 = 81,284.78 : x
  2. Step 2: Convert to fraction form
    149,267/205,985.51 = 81,284.78/x
  3. Step 3: Cross multiply
    149,267x = 205,985.51 × 81,284.78
  4. Step 4: Simplify right side
    149,267x = 16,743,486,457.11
  5. Step 5: Solve for x
    x = 16,743,486,457.11/149,267
  6. Step 6: Final answer
    x = 112,171.39

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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.