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Finding the Fourth Proportional to 123,187.68, 184,772.30 and 34,448.13

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Solution

The fourth proportional to 123,187.68, 184,772.30 and 34,448.13 is: 51,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,187.68 : 184,772.30 = 34,448.13 : x
  2. Step 2: Convert to fraction form
    123,187.68/184,772.30 = 34,448.13/x
  3. Step 3: Cross multiply
    123,187.68x = 184,772.30 × 34,448.13
  4. Step 4: Simplify right side
    123,187.68x = 6,365,060,038.56
  5. Step 5: Solve for x
    x = 6,365,060,038.56/123,187.68
  6. Step 6: Final answer
    x = 51,669.62

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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.