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Finding the Fourth Proportional to 151,497.26, 209,067.69 and 83,516.69

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Solution

The fourth proportional to 151,497.26, 209,067.69 and 83,516.69 is: 115,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,497.26 : 209,067.69 = 83,516.69 : x
  2. Step 2: Convert to fraction form
    151,497.26/209,067.69 = 83,516.69/x
  3. Step 3: Cross multiply
    151,497.26x = 209,067.69 × 83,516.69
  4. Step 4: Simplify right side
    151,497.26x = 17,460,641,144.54
  5. Step 5: Solve for x
    x = 17,460,641,144.54/151,497.26
  6. Step 6: Final answer
    x = 115,253.84

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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.