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Finding the Fourth Proportional to 109,833.40, 164,750.10 and 94,998.25

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Solution

The fourth proportional to 109,833.40, 164,750.10 and 94,998.25 is: 142,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,833.40 : 164,750.10 = 94,998.25 : x
  2. Step 2: Convert to fraction form
    109,833.40/164,750.10 = 94,998.25/x
  3. Step 3: Cross multiply
    109,833.40x = 164,750.10 × 94,998.25
  4. Step 4: Simplify right side
    109,833.40x = 15,650,971,187.33
  5. Step 5: Solve for x
    x = 15,650,971,187.33/109,833.40
  6. Step 6: Final answer
    x = 142,497.38

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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.