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Finding the Fourth Proportional to 137,212.60, 205,430.10 and 123,215.80

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Solution

The fourth proportional to 137,212.60, 205,430.10 and 123,215.80 is: 184,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,212.60 : 205,430.10 = 123,215.80 : x
  2. Step 2: Convert to fraction form
    137,212.60/205,430.10 = 123,215.80/x
  3. Step 3: Cross multiply
    137,212.60x = 205,430.10 × 123,215.80
  4. Step 4: Simplify right side
    137,212.60x = 25,312,234,115.58
  5. Step 5: Solve for x
    x = 25,312,234,115.58/137,212.60
  6. Step 6: Final answer
    x = 184,474.56

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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.