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Finding the Fourth Proportional to 267,907.20, 401,714.80 and 80,894.40

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Solution

The fourth proportional to 267,907.20, 401,714.80 and 80,894.40 is: 121,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,907.20 : 401,714.80 = 80,894.40 : x
  2. Step 2: Convert to fraction form
    267,907.20/401,714.80 = 80,894.40/x
  3. Step 3: Cross multiply
    267,907.20x = 401,714.80 × 80,894.40
  4. Step 4: Simplify right side
    267,907.20x = 32,496,477,717.12
  5. Step 5: Solve for x
    x = 32,496,477,717.12/267,907.20
  6. Step 6: Final answer
    x = 121,297.52

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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.