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Finding the Fourth Proportional to 133,065.10, 199,597.65 and 120,817.90

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Solution

The fourth proportional to 133,065.10, 199,597.65 and 120,817.90 is: 181,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065.10 : 199,597.65 = 120,817.90 : x
  2. Step 2: Convert to fraction form
    133,065.10/199,597.65 = 120,817.90/x
  3. Step 3: Cross multiply
    133,065.10x = 199,597.65 × 120,817.90
  4. Step 4: Simplify right side
    133,065.10x = 24,114,968,917.94
  5. Step 5: Solve for x
    x = 24,114,968,917.94/133,065.10
  6. Step 6: Final answer
    x = 181,226.85

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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.