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Finding the Fourth Proportional to 214,601.68, 296,164.45 and 123,961.46

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Solution

The fourth proportional to 214,601.68, 296,164.45 and 123,961.46 is: 171,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,601.68 : 296,164.45 = 123,961.46 : x
  2. Step 2: Convert to fraction form
    214,601.68/296,164.45 = 123,961.46/x
  3. Step 3: Cross multiply
    214,601.68x = 296,164.45 × 123,961.46
  4. Step 4: Simplify right side
    214,601.68x = 36,712,977,622.10
  5. Step 5: Solve for x
    x = 36,712,977,622.10/214,601.68
  6. Step 6: Final answer
    x = 171,074.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.