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Finding the Fourth Proportional to 214,873.79, 296,535.06 and 119,380.49

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Solution

The fourth proportional to 214,873.79, 296,535.06 and 119,380.49 is: 164,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,873.79 : 296,535.06 = 119,380.49 : x
  2. Step 2: Convert to fraction form
    214,873.79/296,535.06 = 119,380.49/x
  3. Step 3: Cross multiply
    214,873.79x = 296,535.06 × 119,380.49
  4. Step 4: Simplify right side
    214,873.79x = 35,400,499,354.52
  5. Step 5: Solve for x
    x = 35,400,499,354.52/214,873.79
  6. Step 6: Final answer
    x = 164,750.20

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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.