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Finding the Fourth Proportional to 214,524.36, 296,057.52 and 119,041.56

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Solution

The fourth proportional to 214,524.36, 296,057.52 and 119,041.56 is: 164,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,524.36 : 296,057.52 = 119,041.56 : x
  2. Step 2: Convert to fraction form
    214,524.36/296,057.52 = 119,041.56/x
  3. Step 3: Cross multiply
    214,524.36x = 296,057.52 × 119,041.56
  4. Step 4: Simplify right side
    214,524.36x = 35,243,149,030.53
  5. Step 5: Solve for x
    x = 35,243,149,030.53/214,524.36
  6. Step 6: Final answer
    x = 164,285.07

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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.