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Finding the Fourth Proportional to 262,905.20, 393,839.40 and 157,410.80

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Solution

The fourth proportional to 262,905.20, 393,839.40 and 157,410.80 is: 235,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,905.20 : 393,839.40 = 157,410.80 : x
  2. Step 2: Convert to fraction form
    262,905.20/393,839.40 = 157,410.80/x
  3. Step 3: Cross multiply
    262,905.20x = 393,839.40 × 157,410.80
  4. Step 4: Simplify right side
    262,905.20x = 61,994,575,025.52
  5. Step 5: Solve for x
    x = 61,994,575,025.52/262,905.20
  6. Step 6: Final answer
    x = 235,805.82

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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.