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Finding the Fourth Proportional to 205,255.20, 307,652.40 and 105,376.80

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Solution

The fourth proportional to 205,255.20, 307,652.40 and 105,376.80 is: 157,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,255.20 : 307,652.40 = 105,376.80 : x
  2. Step 2: Convert to fraction form
    205,255.20/307,652.40 = 105,376.80/x
  3. Step 3: Cross multiply
    205,255.20x = 307,652.40 × 105,376.80
  4. Step 4: Simplify right side
    205,255.20x = 32,419,425,424.32
  5. Step 5: Solve for x
    x = 32,419,425,424.32/205,255.20
  6. Step 6: Final answer
    x = 157,946.91

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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.