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Finding the Fourth Proportional to 214,816.76, 296,447 and 119,332.34

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Solution

The fourth proportional to 214,816.76, 296,447 and 119,332.34 is: 164,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,816.76 : 296,447 = 119,332.34 : x
  2. Step 2: Convert to fraction form
    214,816.76/296,447 = 119,332.34/x
  3. Step 3: Cross multiply
    214,816.76x = 296,447 × 119,332.34
  4. Step 4: Simplify right side
    214,816.76x = 35,375,714,195.98
  5. Step 5: Solve for x
    x = 35,375,714,195.98/214,816.76
  6. Step 6: Final answer
    x = 164,678.56

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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.