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Finding the Fourth Proportional to 214,978.26, 296,656.29 and 119,479.14

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Solution

The fourth proportional to 214,978.26, 296,656.29 and 119,479.14 is: 164,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978.26 : 296,656.29 = 119,479.14 : x
  2. Step 2: Convert to fraction form
    214,978.26/296,656.29 = 119,479.14/x
  3. Step 3: Cross multiply
    214,978.26x = 296,656.29 × 119,479.14
  4. Step 4: Simplify right side
    214,978.26x = 35,444,238,404.79
  5. Step 5: Solve for x
    x = 35,444,238,404.79/214,978.26
  6. Step 6: Final answer
    x = 164,873.59

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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.