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Finding the Fourth Proportional to 214,902.59, 296,552.54 and 119,406.02

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Solution

The fourth proportional to 214,902.59, 296,552.54 and 119,406.02 is: 164,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902.59 : 296,552.54 = 119,406.02 : x
  2. Step 2: Convert to fraction form
    214,902.59/296,552.54 = 119,406.02/x
  3. Step 3: Cross multiply
    214,902.59x = 296,552.54 × 119,406.02
  4. Step 4: Simplify right side
    214,902.59x = 35,410,157,338.04
  5. Step 5: Solve for x
    x = 35,410,157,338.04/214,902.59
  6. Step 6: Final answer
    x = 164,773.06

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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.