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Finding the Fourth Proportional to 106,362.84, 146,777.10 and 58,616.94

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Solution

The fourth proportional to 106,362.84, 146,777.10 and 58,616.94 is: 80,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,362.84 : 146,777.10 = 58,616.94 : x
  2. Step 2: Convert to fraction form
    106,362.84/146,777.10 = 58,616.94/x
  3. Step 3: Cross multiply
    106,362.84x = 146,777.10 × 58,616.94
  4. Step 4: Simplify right side
    106,362.84x = 8,603,624,464.07
  5. Step 5: Solve for x
    x = 8,603,624,464.07/106,362.84
  6. Step 6: Final answer
    x = 80,889.38

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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.