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Finding the Fourth Proportional to 146,954.62, 202,784.41 and 81,545.10

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Solution

The fourth proportional to 146,954.62, 202,784.41 and 81,545.10 is: 112,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,954.62 : 202,784.41 = 81,545.10 : x
  2. Step 2: Convert to fraction form
    146,954.62/202,784.41 = 81,545.10/x
  3. Step 3: Cross multiply
    146,954.62x = 202,784.41 × 81,545.10
  4. Step 4: Simplify right side
    146,954.62x = 16,536,074,333.38
  5. Step 5: Solve for x
    x = 16,536,074,333.38/146,954.62
  6. Step 6: Final answer
    x = 112,525.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.