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Finding the Fourth Proportional to 140,035.56, 193,284 and 83,436

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Solution

The fourth proportional to 140,035.56, 193,284 and 83,436 is: 115,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,035.56 : 193,284 = 83,436 : x
  2. Step 2: Convert to fraction form
    140,035.56/193,284 = 83,436/x
  3. Step 3: Cross multiply
    140,035.56x = 193,284 × 83,436
  4. Step 4: Simplify right side
    140,035.56x = 16,126,843,824
  5. Step 5: Solve for x
    x = 16,126,843,824/140,035.56
  6. Step 6: Final answer
    x = 115,162.49

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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.