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Finding the Fourth Proportional to 106,415.58, 146,853.45 and 61,096.49

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Solution

The fourth proportional to 106,415.58, 146,853.45 and 61,096.49 is: 84,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.58 : 146,853.45 = 61,096.49 : x
  2. Step 2: Convert to fraction form
    106,415.58/146,853.45 = 61,096.49/x
  3. Step 3: Cross multiply
    106,415.58x = 146,853.45 × 61,096.49
  4. Step 4: Simplify right side
    106,415.58x = 8,972,229,757.86
  5. Step 5: Solve for x
    x = 8,972,229,757.86/106,415.58
  6. Step 6: Final answer
    x = 84,313.12

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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.