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Finding the Fourth Proportional to 151,524.74, 209,103.23 and 83,541.44

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Solution

The fourth proportional to 151,524.74, 209,103.23 and 83,541.44 is: 115,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524.74 : 209,103.23 = 83,541.44 : x
  2. Step 2: Convert to fraction form
    151,524.74/209,103.23 = 83,541.44/x
  3. Step 3: Cross multiply
    151,524.74x = 209,103.23 × 83,541.44
  4. Step 4: Simplify right side
    151,524.74x = 17,468,784,106.19
  5. Step 5: Solve for x
    x = 17,468,784,106.19/151,524.74
  6. Step 6: Final answer
    x = 115,286.68

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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.