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Finding the Fourth Proportional to 214,552.79, 296,086.62 and 117,765.71

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Solution

The fourth proportional to 214,552.79, 296,086.62 and 117,765.71 is: 162,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,552.79 : 296,086.62 = 117,765.71 : x
  2. Step 2: Convert to fraction form
    214,552.79/296,086.62 = 117,765.71/x
  3. Step 3: Cross multiply
    214,552.79x = 296,086.62 × 117,765.71
  4. Step 4: Simplify right side
    214,552.79x = 34,868,848,956.54
  5. Step 5: Solve for x
    x = 34,868,848,956.54/214,552.79
  6. Step 6: Final answer
    x = 162,518.74

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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.