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Finding the Fourth Proportional to 280,232.89, 420,573.50 and 147,191.60

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Solution

The fourth proportional to 280,232.89, 420,573.50 and 147,191.60 is: 220,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,232.89 : 420,573.50 = 147,191.60 : x
  2. Step 2: Convert to fraction form
    280,232.89/420,573.50 = 147,191.60/x
  3. Step 3: Cross multiply
    280,232.89x = 420,573.50 × 147,191.60
  4. Step 4: Simplify right side
    280,232.89x = 61,904,886,698.08
  5. Step 5: Solve for x
    x = 61,904,886,698.08/280,232.89
  6. Step 6: Final answer
    x = 220,905.15

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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.