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Finding the Fourth Proportional to 106,144.01, 146,477.32 and 58,396.33

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Solution

The fourth proportional to 106,144.01, 146,477.32 and 58,396.33 is: 80,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.01 : 146,477.32 = 58,396.33 : x
  2. Step 2: Convert to fraction form
    106,144.01/146,477.32 = 58,396.33/x
  3. Step 3: Cross multiply
    106,144.01x = 146,477.32 × 58,396.33
  4. Step 4: Simplify right side
    106,144.01x = 8,553,737,916.24
  5. Step 5: Solve for x
    x = 8,553,737,916.24/106,144.01
  6. Step 6: Final answer
    x = 80,586.16

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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.