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Finding the Fourth Proportional to 106,464.16, 146,914.52 and 66,176.89

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Solution

The fourth proportional to 106,464.16, 146,914.52 and 66,176.89 is: 91,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464.16 : 146,914.52 = 66,176.89 : x
  2. Step 2: Convert to fraction form
    106,464.16/146,914.52 = 66,176.89/x
  3. Step 3: Cross multiply
    106,464.16x = 146,914.52 × 66,176.89
  4. Step 4: Simplify right side
    106,464.16x = 9,722,346,029.44
  5. Step 5: Solve for x
    x = 9,722,346,029.44/106,464.16
  6. Step 6: Final answer
    x = 91,320.37

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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.