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Finding the Fourth Proportional to 146,366.64, 219,546.90 and 46,527

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Solution

The fourth proportional to 146,366.64, 219,546.90 and 46,527 is: 69,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,366.64 : 219,546.90 = 46,527 : x
  2. Step 2: Convert to fraction form
    146,366.64/219,546.90 = 46,527/x
  3. Step 3: Cross multiply
    146,366.64x = 219,546.90 × 46,527
  4. Step 4: Simplify right side
    146,366.64x = 10,214,858,616.30
  5. Step 5: Solve for x
    x = 10,214,858,616.30/146,366.64
  6. Step 6: Final answer
    x = 69,789.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.