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Finding the Fourth Proportional to 280,228.64, 420,533.36 and 114,046.88

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Solution

The fourth proportional to 280,228.64, 420,533.36 and 114,046.88 is: 171,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228.64 : 420,533.36 = 114,046.88 : x
  2. Step 2: Convert to fraction form
    280,228.64/420,533.36 = 114,046.88/x
  3. Step 3: Cross multiply
    280,228.64x = 420,533.36 × 114,046.88
  4. Step 4: Simplify right side
    280,228.64x = 47,960,517,643.92
  5. Step 5: Solve for x
    x = 47,960,517,643.92/280,228.64
  6. Step 6: Final answer
    x = 171,147.81

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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.