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Finding the Fourth Proportional to 214,782.25, 296,412.89 and 119,288.71

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Solution

The fourth proportional to 214,782.25, 296,412.89 and 119,288.71 is: 164,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,782.25 : 296,412.89 = 119,288.71 : x
  2. Step 2: Convert to fraction form
    214,782.25/296,412.89 = 119,288.71/x
  3. Step 3: Cross multiply
    214,782.25x = 296,412.89 × 119,288.71
  4. Step 4: Simplify right side
    214,782.25x = 35,358,711,275.47
  5. Step 5: Solve for x
    x = 35,358,711,275.47/214,782.25
  6. Step 6: Final answer
    x = 164,625.85

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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.