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Finding the Fourth Proportional to 207,393.10, 286,211.15 and 116,749.24

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Solution

The fourth proportional to 207,393.10, 286,211.15 and 116,749.24 is: 161,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,393.10 : 286,211.15 = 116,749.24 : x
  2. Step 2: Convert to fraction form
    207,393.10/286,211.15 = 116,749.24/x
  3. Step 3: Cross multiply
    207,393.10x = 286,211.15 × 116,749.24
  4. Step 4: Simplify right side
    207,393.10x = 33,414,933,658.28
  5. Step 5: Solve for x
    x = 33,414,933,658.28/207,393.10
  6. Step 6: Final answer
    x = 161,118.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.