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Finding the Fourth Proportional to 207,121.65, 285,826.01 and 116,478.26

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Solution

The fourth proportional to 207,121.65, 285,826.01 and 116,478.26 is: 160,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,121.65 : 285,826.01 = 116,478.26 : x
  2. Step 2: Convert to fraction form
    207,121.65/285,826.01 = 116,478.26/x
  3. Step 3: Cross multiply
    207,121.65x = 285,826.01 × 116,478.26
  4. Step 4: Simplify right side
    207,121.65x = 33,292,514,296.02
  5. Step 5: Solve for x
    x = 33,292,514,296.02/207,121.65
  6. Step 6: Final answer
    x = 160,738.94

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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.