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Finding the Fourth Proportional to 214,654.86, 296,120.79 and 151,027.74

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Solution

The fourth proportional to 214,654.86, 296,120.79 and 151,027.74 is: 208,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,654.86 : 296,120.79 = 151,027.74 : x
  2. Step 2: Convert to fraction form
    214,654.86/296,120.79 = 151,027.74/x
  3. Step 3: Cross multiply
    214,654.86x = 296,120.79 × 151,027.74
  4. Step 4: Simplify right side
    214,654.86x = 44,722,453,680.71
  5. Step 5: Solve for x
    x = 44,722,453,680.71/214,654.86
  6. Step 6: Final answer
    x = 208,345.87

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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.