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Finding the Fourth Proportional to 106,112.38, 146,455.88 and 60,820.72

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Solution

The fourth proportional to 106,112.38, 146,455.88 and 60,820.72 is: 83,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,112.38 : 146,455.88 = 60,820.72 : x
  2. Step 2: Convert to fraction form
    106,112.38/146,455.88 = 60,820.72/x
  3. Step 3: Cross multiply
    106,112.38x = 146,455.88 × 60,820.72
  4. Step 4: Simplify right side
    106,112.38x = 8,907,552,069.83
  5. Step 5: Solve for x
    x = 8,907,552,069.83/106,112.38
  6. Step 6: Final answer
    x = 83,944.51

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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.