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Finding the Fourth Proportional to 214,906.59, 296,558.06 and 119,410.02

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Solution

The fourth proportional to 214,906.59, 296,558.06 and 119,410.02 is: 164,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.59 : 296,558.06 = 119,410.02 : x
  2. Step 2: Convert to fraction form
    214,906.59/296,558.06 = 119,410.02/x
  3. Step 3: Cross multiply
    214,906.59x = 296,558.06 × 119,410.02
  4. Step 4: Simplify right side
    214,906.59x = 35,412,003,875.76
  5. Step 5: Solve for x
    x = 35,412,003,875.76/214,906.59
  6. Step 6: Final answer
    x = 164,778.59

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Why These Related Problems?

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