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Finding the Fourth Proportional to 106,463.16, 146,913.14 and 66,175.89

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Solution

The fourth proportional to 106,463.16, 146,913.14 and 66,175.89 is: 91,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,463.16 : 146,913.14 = 66,175.89 : x
  2. Step 2: Convert to fraction form
    106,463.16/146,913.14 = 66,175.89/x
  3. Step 3: Cross multiply
    106,463.16x = 146,913.14 × 66,175.89
  4. Step 4: Simplify right side
    106,463.16x = 9,722,107,406.71
  5. Step 5: Solve for x
    x = 9,722,107,406.71/106,463.16
  6. Step 6: Final answer
    x = 91,318.98

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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.