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Finding the Fourth Proportional to 155,410.20, 214,459.38 and 87,426

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Solution

The fourth proportional to 155,410.20, 214,459.38 and 87,426 is: 120,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,410.20 : 214,459.38 = 87,426 : x
  2. Step 2: Convert to fraction form
    155,410.20/214,459.38 = 87,426/x
  3. Step 3: Cross multiply
    155,410.20x = 214,459.38 × 87,426
  4. Step 4: Simplify right side
    155,410.20x = 18,749,325,755.88
  5. Step 5: Solve for x
    x = 18,749,325,755.88/155,410.20
  6. Step 6: Final answer
    x = 120,644.11

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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.