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Finding the Fourth Proportional to 214,407.10, 321,626.14 and 56,633.50

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Solution

The fourth proportional to 214,407.10, 321,626.14 and 56,633.50 is: 84,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,407.10 : 321,626.14 = 56,633.50 : x
  2. Step 2: Convert to fraction form
    214,407.10/321,626.14 = 56,633.50/x
  3. Step 3: Cross multiply
    214,407.10x = 321,626.14 × 56,633.50
  4. Step 4: Simplify right side
    214,407.10x = 18,214,813,999.69
  5. Step 5: Solve for x
    x = 18,214,813,999.69/214,407.10
  6. Step 6: Final answer
    x = 84,954.34

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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.