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Finding the Fourth Proportional to 146,545.10, 202,235.86 and 82,013.82

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Solution

The fourth proportional to 146,545.10, 202,235.86 and 82,013.82 is: 113,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,545.10 : 202,235.86 = 82,013.82 : x
  2. Step 2: Convert to fraction form
    146,545.10/202,235.86 = 82,013.82/x
  3. Step 3: Cross multiply
    146,545.10x = 202,235.86 × 82,013.82
  4. Step 4: Simplify right side
    146,545.10x = 16,586,136,008.76
  5. Step 5: Solve for x
    x = 16,586,136,008.76/146,545.10
  6. Step 6: Final answer
    x = 113,181.10

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