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Finding the Fourth Proportional to 214,502.24, 296,039.34 and 123,857.97

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Solution

The fourth proportional to 214,502.24, 296,039.34 and 123,857.97 is: 170,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.24 : 296,039.34 = 123,857.97 : x
  2. Step 2: Convert to fraction form
    214,502.24/296,039.34 = 123,857.97/x
  3. Step 3: Cross multiply
    214,502.24x = 296,039.34 × 123,857.97
  4. Step 4: Simplify right side
    214,502.24x = 36,666,831,692.54
  5. Step 5: Solve for x
    x = 36,666,831,692.54/214,502.24
  6. Step 6: Final answer
    x = 170,939.16

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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.