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Finding the Fourth Proportional to 133,056.10, 199,584.15 and 120,808.90

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Solution

The fourth proportional to 133,056.10, 199,584.15 and 120,808.90 is: 181,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056.10 : 199,584.15 = 120,808.90 : x
  2. Step 2: Convert to fraction form
    133,056.10/199,584.15 = 120,808.90/x
  3. Step 3: Cross multiply
    133,056.10x = 199,584.15 × 120,808.90
  4. Step 4: Simplify right side
    133,056.10x = 24,111,541,618.94
  5. Step 5: Solve for x
    x = 24,111,541,618.94/133,056.10
  6. Step 6: Final answer
    x = 181,213.35

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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.