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Finding the Fourth Proportional to 138,002.40, 206,857.80 and 78,710.40

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Solution

The fourth proportional to 138,002.40, 206,857.80 and 78,710.40 is: 117,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,002.40 : 206,857.80 = 78,710.40 : x
  2. Step 2: Convert to fraction form
    138,002.40/206,857.80 = 78,710.40/x
  3. Step 3: Cross multiply
    138,002.40x = 206,857.80 × 78,710.40
  4. Step 4: Simplify right side
    138,002.40x = 16,281,860,181.12
  5. Step 5: Solve for x
    x = 16,281,860,181.12/138,002.40
  6. Step 6: Final answer
    x = 117,982.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.