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Finding the Fourth Proportional to 106,796.46, 147,375.49 and 61,468.16

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Solution

The fourth proportional to 106,796.46, 147,375.49 and 61,468.16 is: 84,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,796.46 : 147,375.49 = 61,468.16 : x
  2. Step 2: Convert to fraction form
    106,796.46/147,375.49 = 61,468.16/x
  3. Step 3: Cross multiply
    106,796.46x = 147,375.49 × 61,468.16
  4. Step 4: Simplify right side
    106,796.46x = 9,058,900,199.40
  5. Step 5: Solve for x
    x = 9,058,900,199.40/106,796.46
  6. Step 6: Final answer
    x = 84,823.97

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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.