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Finding the Fourth Proportional to 133,053.20, 199,288.20 and 115,557.20

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Solution

The fourth proportional to 133,053.20, 199,288.20 and 115,557.20 is: 173,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.20 : 199,288.20 = 115,557.20 : x
  2. Step 2: Convert to fraction form
    133,053.20/199,288.20 = 115,557.20/x
  3. Step 3: Cross multiply
    133,053.20x = 199,288.20 × 115,557.20
  4. Step 4: Simplify right side
    133,053.20x = 23,029,186,385.04
  5. Step 5: Solve for x
    x = 23,029,186,385.04/133,053.20
  6. Step 6: Final answer
    x = 173,082.54

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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.