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Finding the Fourth Proportional to 123,410.67, 185,123.19 and 34,671.10

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Solution

The fourth proportional to 123,410.67, 185,123.19 and 34,671.10 is: 52,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.67 : 185,123.19 = 34,671.10 : x
  2. Step 2: Convert to fraction form
    123,410.67/185,123.19 = 34,671.10/x
  3. Step 3: Cross multiply
    123,410.67x = 185,123.19 × 34,671.10
  4. Step 4: Simplify right side
    123,410.67x = 6,418,424,039.98
  5. Step 5: Solve for x
    x = 6,418,424,039.98/123,410.67
  6. Step 6: Final answer
    x = 52,008.66

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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.