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Finding the Fourth Proportional to 207,478.38, 286,317.33 and 116,835.43

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Solution

The fourth proportional to 207,478.38, 286,317.33 and 116,835.43 is: 161,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,478.38 : 286,317.33 = 116,835.43 : x
  2. Step 2: Convert to fraction form
    207,478.38/286,317.33 = 116,835.43/x
  3. Step 3: Cross multiply
    207,478.38x = 286,317.33 × 116,835.43
  4. Step 4: Simplify right side
    207,478.38x = 33,452,008,367.00
  5. Step 5: Solve for x
    x = 33,452,008,367.00/207,478.38
  6. Step 6: Final answer
    x = 161,231.30

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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.