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Finding the Fourth Proportional to 219,748.92, 329,186.66 and 107,100.68

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Solution

The fourth proportional to 219,748.92, 329,186.66 and 107,100.68 is: 160,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,748.92 : 329,186.66 = 107,100.68 : x
  2. Step 2: Convert to fraction form
    219,748.92/329,186.66 = 107,100.68/x
  3. Step 3: Cross multiply
    219,748.92x = 329,186.66 × 107,100.68
  4. Step 4: Simplify right side
    219,748.92x = 35,256,115,132.93
  5. Step 5: Solve for x
    x = 35,256,115,132.93/219,748.92
  6. Step 6: Final answer
    x = 160,438.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.