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Finding the Fourth Proportional to 103,212.10, 155,168.10 and 82,417.78

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Solution

The fourth proportional to 103,212.10, 155,168.10 and 82,417.78 is: 123,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.10 : 155,168.10 = 82,417.78 : x
  2. Step 2: Convert to fraction form
    103,212.10/155,168.10 = 82,417.78/x
  3. Step 3: Cross multiply
    103,212.10x = 155,168.10 × 82,417.78
  4. Step 4: Simplify right side
    103,212.10x = 12,788,610,328.82
  5. Step 5: Solve for x
    x = 12,788,610,328.82/103,212.10
  6. Step 6: Final answer
    x = 123,906.11

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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.