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Finding the Fourth Proportional to 106,369.64, 146,784.12 and 58,622.84

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Solution

The fourth proportional to 106,369.64, 146,784.12 and 58,622.84 is: 80,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369.64 : 146,784.12 = 58,622.84 : x
  2. Step 2: Convert to fraction form
    106,369.64/146,784.12 = 58,622.84/x
  3. Step 3: Cross multiply
    106,369.64x = 146,784.12 × 58,622.84
  4. Step 4: Simplify right side
    106,369.64x = 8,604,901,981.30
  5. Step 5: Solve for x
    x = 8,604,901,981.30/106,369.64
  6. Step 6: Final answer
    x = 80,896.22

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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.