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Finding the Fourth Proportional to 99,829.80, 149,744.70 and 92,226.60

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Solution

The fourth proportional to 99,829.80, 149,744.70 and 92,226.60 is: 138,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,829.80 : 149,744.70 = 92,226.60 : x
  2. Step 2: Convert to fraction form
    99,829.80/149,744.70 = 92,226.60/x
  3. Step 3: Cross multiply
    99,829.80x = 149,744.70 × 92,226.60
  4. Step 4: Simplify right side
    99,829.80x = 13,810,444,549.02
  5. Step 5: Solve for x
    x = 13,810,444,549.02/99,829.80
  6. Step 6: Final answer
    x = 138,339.90

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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.