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Finding the Fourth Proportional to 214,751.52, 296,366.04 and 119,259

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Solution

The fourth proportional to 214,751.52, 296,366.04 and 119,259 is: 164,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,751.52 : 296,366.04 = 119,259 : x
  2. Step 2: Convert to fraction form
    214,751.52/296,366.04 = 119,259/x
  3. Step 3: Cross multiply
    214,751.52x = 296,366.04 × 119,259
  4. Step 4: Simplify right side
    214,751.52x = 35,344,317,564.36
  5. Step 5: Solve for x
    x = 35,344,317,564.36/214,751.52
  6. Step 6: Final answer
    x = 164,582.39

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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.