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Finding the Fourth Proportional to 149,280.92, 205,994.10 and 88,841.82

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Solution

The fourth proportional to 149,280.92, 205,994.10 and 88,841.82 is: 122,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,280.92 : 205,994.10 = 88,841.82 : x
  2. Step 2: Convert to fraction form
    149,280.92/205,994.10 = 88,841.82/x
  3. Step 3: Cross multiply
    149,280.92x = 205,994.10 × 88,841.82
  4. Step 4: Simplify right side
    149,280.92x = 18,300,890,753.26
  5. Step 5: Solve for x
    x = 18,300,890,753.26/149,280.92
  6. Step 6: Final answer
    x = 122,593.64

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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.