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Finding the Fourth Proportional to 214,712.40, 322,068.60 and 185,163.60

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Solution

The fourth proportional to 214,712.40, 322,068.60 and 185,163.60 is: 277,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,712.40 : 322,068.60 = 185,163.60 : x
  2. Step 2: Convert to fraction form
    214,712.40/322,068.60 = 185,163.60/x
  3. Step 3: Cross multiply
    214,712.40x = 322,068.60 × 185,163.60
  4. Step 4: Simplify right side
    214,712.40x = 59,635,381,422.96
  5. Step 5: Solve for x
    x = 59,635,381,422.96/214,712.40
  6. Step 6: Final answer
    x = 277,745.40

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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.