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Finding the Fourth Proportional to 133,566.57, 200,447.87 and 107,585.01

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Solution

The fourth proportional to 133,566.57, 200,447.87 and 107,585.01 is: 161,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566.57 : 200,447.87 = 107,585.01 : x
  2. Step 2: Convert to fraction form
    133,566.57/200,447.87 = 107,585.01/x
  3. Step 3: Cross multiply
    133,566.57x = 200,447.87 × 107,585.01
  4. Step 4: Simplify right side
    133,566.57x = 21,565,185,560.50
  5. Step 5: Solve for x
    x = 21,565,185,560.50/133,566.57
  6. Step 6: Final answer
    x = 161,456.46

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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.