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Finding the Fourth Proportional to 140,573.48, 193,985.70 and 84,016.04

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Solution

The fourth proportional to 140,573.48, 193,985.70 and 84,016.04 is: 115,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,573.48 : 193,985.70 = 84,016.04 : x
  2. Step 2: Convert to fraction form
    140,573.48/193,985.70 = 84,016.04/x
  3. Step 3: Cross multiply
    140,573.48x = 193,985.70 × 84,016.04
  4. Step 4: Simplify right side
    140,573.48x = 16,297,910,330.63
  5. Step 5: Solve for x
    x = 16,297,910,330.63/140,573.48
  6. Step 6: Final answer
    x = 115,938.73

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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.