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Finding the Fourth Proportional to 100,725.84, 151,090.50 and 34,167.69

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Solution

The fourth proportional to 100,725.84, 151,090.50 and 34,167.69 is: 51,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,725.84 : 151,090.50 = 34,167.69 : x
  2. Step 2: Convert to fraction form
    100,725.84/151,090.50 = 34,167.69/x
  3. Step 3: Cross multiply
    100,725.84x = 151,090.50 × 34,167.69
  4. Step 4: Simplify right side
    100,725.84x = 5,162,413,365.95
  5. Step 5: Solve for x
    x = 5,162,413,365.95/100,725.84
  6. Step 6: Final answer
    x = 51,252.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.