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Finding the Fourth Proportional to 146,671.81, 219,856.73 and 83,356.70

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Solution

The fourth proportional to 146,671.81, 219,856.73 and 83,356.70 is: 124,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,671.81 : 219,856.73 = 83,356.70 : x
  2. Step 2: Convert to fraction form
    146,671.81/219,856.73 = 83,356.70/x
  3. Step 3: Cross multiply
    146,671.81x = 219,856.73 × 83,356.70
  4. Step 4: Simplify right side
    146,671.81x = 18,326,530,438.41
  5. Step 5: Solve for x
    x = 18,326,530,438.41/146,671.81
  6. Step 6: Final answer
    x = 124,949.23

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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.