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Finding the Fourth Proportional to 219,203.92, 328,818.64 and 61,444.68

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Solution

The fourth proportional to 219,203.92, 328,818.64 and 61,444.68 is: 92,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,203.92 : 328,818.64 = 61,444.68 : x
  2. Step 2: Convert to fraction form
    219,203.92/328,818.64 = 61,444.68/x
  3. Step 3: Cross multiply
    219,203.92x = 328,818.64 × 61,444.68
  4. Step 4: Simplify right side
    219,203.92x = 20,204,154,841.36
  5. Step 5: Solve for x
    x = 20,204,154,841.36/219,203.92
  6. Step 6: Final answer
    x = 92,170.59

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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.