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Finding the Fourth Proportional to 146,370.64, 219,629.76 and 57,687.70

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Solution

The fourth proportional to 146,370.64, 219,629.76 and 57,687.70 is: 86,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,370.64 : 219,629.76 = 57,687.70 : x
  2. Step 2: Convert to fraction form
    146,370.64/219,629.76 = 57,687.70/x
  3. Step 3: Cross multiply
    146,370.64x = 219,629.76 × 57,687.70
  4. Step 4: Simplify right side
    146,370.64x = 12,669,935,705.95
  5. Step 5: Solve for x
    x = 12,669,935,705.95/146,370.64
  6. Step 6: Final answer
    x = 86,560.64

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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.