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Finding the Fourth Proportional to 123,180.30, 184,777.05 and 38,934.06

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Solution

The fourth proportional to 123,180.30, 184,777.05 and 38,934.06 is: 58,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,180.30 : 184,777.05 = 38,934.06 : x
  2. Step 2: Convert to fraction form
    123,180.30/184,777.05 = 38,934.06/x
  3. Step 3: Cross multiply
    123,180.30x = 184,777.05 × 38,934.06
  4. Step 4: Simplify right side
    123,180.30x = 7,194,120,751.32
  5. Step 5: Solve for x
    x = 7,194,120,751.32/123,180.30
  6. Step 6: Final answer
    x = 58,403.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.