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Finding the Fourth Proportional to 214,781.25, 296,411.51 and 119,287.71

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Solution

The fourth proportional to 214,781.25, 296,411.51 and 119,287.71 is: 164,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,781.25 : 296,411.51 = 119,287.71 : x
  2. Step 2: Convert to fraction form
    214,781.25/296,411.51 = 119,287.71/x
  3. Step 3: Cross multiply
    214,781.25x = 296,411.51 × 119,287.71
  4. Step 4: Simplify right side
    214,781.25x = 35,358,251,545.17
  5. Step 5: Solve for x
    x = 35,358,251,545.17/214,781.25
  6. Step 6: Final answer
    x = 164,624.48

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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.