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Finding the Fourth Proportional to 105,245.80, 157,811.10 and 42,845.80

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Solution

The fourth proportional to 105,245.80, 157,811.10 and 42,845.80 is: 64,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,245.80 : 157,811.10 = 42,845.80 : x
  2. Step 2: Convert to fraction form
    105,245.80/157,811.10 = 42,845.80/x
  3. Step 3: Cross multiply
    105,245.80x = 157,811.10 × 42,845.80
  4. Step 4: Simplify right side
    105,245.80x = 6,761,542,828.38
  5. Step 5: Solve for x
    x = 6,761,542,828.38/105,245.80
  6. Step 6: Final answer
    x = 64,245.25

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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.