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Finding the Fourth Proportional to 140,203.14, 193,473.58 and 79,768.14

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Solution

The fourth proportional to 140,203.14, 193,473.58 and 79,768.14 is: 110,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.14 : 193,473.58 = 79,768.14 : x
  2. Step 2: Convert to fraction form
    140,203.14/193,473.58 = 79,768.14/x
  3. Step 3: Cross multiply
    140,203.14x = 193,473.58 × 79,768.14
  4. Step 4: Simplify right side
    140,203.14x = 15,433,027,615.74
  5. Step 5: Solve for x
    x = 15,433,027,615.74/140,203.14
  6. Step 6: Final answer
    x = 110,076.19

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1.5x scale

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.