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Finding the Fourth Proportional to 140,330, 193,655.40 and 80,714

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Solution

The fourth proportional to 140,330, 193,655.40 and 80,714 is: 111,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,330 : 193,655.40 = 80,714 : x
  2. Step 2: Convert to fraction form
    140,330/193,655.40 = 80,714/x
  3. Step 3: Cross multiply
    140,330x = 193,655.40 × 80,714
  4. Step 4: Simplify right side
    140,330x = 15,630,701,955.60
  5. Step 5: Solve for x
    x = 15,630,701,955.60/140,330
  6. Step 6: Final answer
    x = 111,385.32

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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.