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Finding the Fourth Proportional to 214,840.32, 296,469 and 124,187.66

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Solution

The fourth proportional to 214,840.32, 296,469 and 124,187.66 is: 171,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,840.32 : 296,469 = 124,187.66 : x
  2. Step 2: Convert to fraction form
    214,840.32/296,469 = 124,187.66/x
  3. Step 3: Cross multiply
    214,840.32x = 296,469 × 124,187.66
  4. Step 4: Simplify right side
    214,840.32x = 36,817,791,372.54
  5. Step 5: Solve for x
    x = 36,817,791,372.54/214,840.32
  6. Step 6: Final answer
    x = 171,372.82

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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.