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Finding the Fourth Proportional to 214,607.75, 322,227.63 and 120,023.24

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Solution

The fourth proportional to 214,607.75, 322,227.63 and 120,023.24 is: 180,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,607.75 : 322,227.63 = 120,023.24 : x
  2. Step 2: Convert to fraction form
    214,607.75/322,227.63 = 120,023.24/x
  3. Step 3: Cross multiply
    214,607.75x = 322,227.63 × 120,023.24
  4. Step 4: Simplify right side
    214,607.75x = 38,674,804,687.04
  5. Step 5: Solve for x
    x = 38,674,804,687.04/214,607.75
  6. Step 6: Final answer
    x = 180,211.60

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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.