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Finding the Fourth Proportional to 146,617.93, 219,017.21 and 106,317

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Solution

The fourth proportional to 146,617.93, 219,017.21 and 106,317 is: 158,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,617.93 : 219,017.21 = 106,317 : x
  2. Step 2: Convert to fraction form
    146,617.93/219,017.21 = 106,317/x
  3. Step 3: Cross multiply
    146,617.93x = 219,017.21 × 106,317
  4. Step 4: Simplify right side
    146,617.93x = 23,285,252,715.57
  5. Step 5: Solve for x
    x = 23,285,252,715.57/146,617.93
  6. Step 6: Final answer
    x = 158,815.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.