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Finding the Fourth Proportional to 219,404.64, 329,119.71 and 61,645.41

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Solution

The fourth proportional to 219,404.64, 329,119.71 and 61,645.41 is: 92,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,404.64 : 329,119.71 = 61,645.41 : x
  2. Step 2: Convert to fraction form
    219,404.64/329,119.71 = 61,645.41/x
  3. Step 3: Cross multiply
    219,404.64x = 329,119.71 × 61,645.41
  4. Step 4: Simplify right side
    219,404.64x = 20,288,719,462.03
  5. Step 5: Solve for x
    x = 20,288,719,462.03/219,404.64
  6. Step 6: Final answer
    x = 92,471.70

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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.