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Finding the Fourth Proportional to 219,204.92, 328,820.14 and 61,445.68

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Solution

The fourth proportional to 219,204.92, 328,820.14 and 61,445.68 is: 92,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,204.92 : 328,820.14 = 61,445.68 : x
  2. Step 2: Convert to fraction form
    219,204.92/328,820.14 = 61,445.68/x
  3. Step 3: Cross multiply
    219,204.92x = 328,820.14 × 61,445.68
  4. Step 4: Simplify right side
    219,204.92x = 20,204,577,100.00
  5. Step 5: Solve for x
    x = 20,204,577,100.00/219,204.92
  6. Step 6: Final answer
    x = 92,172.10

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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.