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Finding the Fourth Proportional to 214,908.59, 296,560.82 and 119,412.02

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Solution

The fourth proportional to 214,908.59, 296,560.82 and 119,412.02 is: 164,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.59 : 296,560.82 = 119,412.02 : x
  2. Step 2: Convert to fraction form
    214,908.59/296,560.82 = 119,412.02/x
  3. Step 3: Cross multiply
    214,908.59x = 296,560.82 × 119,412.02
  4. Step 4: Simplify right side
    214,908.59x = 35,412,926,569.06
  5. Step 5: Solve for x
    x = 35,412,926,569.06/214,908.59
  6. Step 6: Final answer
    x = 164,781.35

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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.