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Finding the Fourth Proportional to 103,383, 142,600.50 and 74,654.82

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Solution

The fourth proportional to 103,383, 142,600.50 and 74,654.82 is: 102,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,383 : 142,600.50 = 74,654.82 : x
  2. Step 2: Convert to fraction form
    103,383/142,600.50 = 74,654.82/x
  3. Step 3: Cross multiply
    103,383x = 142,600.50 × 74,654.82
  4. Step 4: Simplify right side
    103,383x = 10,645,814,659.41
  5. Step 5: Solve for x
    x = 10,645,814,659.41/103,383
  6. Step 6: Final answer
    x = 102,974.52

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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.