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Finding the Fourth Proportional to 214,272.12, 295,693.20 and 123,627

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Solution

The fourth proportional to 214,272.12, 295,693.20 and 123,627 is: 170,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,272.12 : 295,693.20 = 123,627 : x
  2. Step 2: Convert to fraction form
    214,272.12/295,693.20 = 123,627/x
  3. Step 3: Cross multiply
    214,272.12x = 295,693.20 × 123,627
  4. Step 4: Simplify right side
    214,272.12x = 36,555,663,236.40
  5. Step 5: Solve for x
    x = 36,555,663,236.40/214,272.12
  6. Step 6: Final answer
    x = 170,603.92

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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.