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Finding the Fourth Proportional to 106,072.92, 146,411.64 and 63,082.64

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Solution

The fourth proportional to 106,072.92, 146,411.64 and 63,082.64 is: 87,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.92 : 146,411.64 = 63,082.64 : x
  2. Step 2: Convert to fraction form
    106,072.92/146,411.64 = 63,082.64/x
  3. Step 3: Cross multiply
    106,072.92x = 146,411.64 × 63,082.64
  4. Step 4: Simplify right side
    106,072.92x = 9,236,032,777.93
  5. Step 5: Solve for x
    x = 9,236,032,777.93/106,072.92
  6. Step 6: Final answer
    x = 87,072.49

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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.