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Finding the Fourth Proportional to 280,131.60, 419,905.80 and 153,577.20

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Solution

The fourth proportional to 280,131.60, 419,905.80 and 153,577.20 is: 230,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,131.60 : 419,905.80 = 153,577.20 : x
  2. Step 2: Convert to fraction form
    280,131.60/419,905.80 = 153,577.20/x
  3. Step 3: Cross multiply
    280,131.60x = 419,905.80 × 153,577.20
  4. Step 4: Simplify right side
    280,131.60x = 64,487,957,027.76
  5. Step 5: Solve for x
    x = 64,487,957,027.76/280,131.60
  6. Step 6: Final answer
    x = 230,205.94

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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.