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Finding the Fourth Proportional to 214,200.30, 321,300.45 and 164,433.90

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Solution

The fourth proportional to 214,200.30, 321,300.45 and 164,433.90 is: 246,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,200.30 : 321,300.45 = 164,433.90 : x
  2. Step 2: Convert to fraction form
    214,200.30/321,300.45 = 164,433.90/x
  3. Step 3: Cross multiply
    214,200.30x = 321,300.45 × 164,433.90
  4. Step 4: Simplify right side
    214,200.30x = 52,832,686,065.26
  5. Step 5: Solve for x
    x = 52,832,686,065.26/214,200.30
  6. Step 6: Final answer
    x = 246,650.85

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