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Finding the Fourth Proportional to 133,056.70, 199,585.05 and 83,193.10

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Solution

The fourth proportional to 133,056.70, 199,585.05 and 83,193.10 is: 124,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056.70 : 199,585.05 = 83,193.10 : x
  2. Step 2: Convert to fraction form
    133,056.70/199,585.05 = 83,193.10/x
  3. Step 3: Cross multiply
    133,056.70x = 199,585.05 × 83,193.10
  4. Step 4: Simplify right side
    133,056.70x = 16,604,099,023.16
  5. Step 5: Solve for x
    x = 16,604,099,023.16/133,056.70
  6. Step 6: Final answer
    x = 124,789.65

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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.