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Finding the Fourth Proportional to 106,820.79, 147,449.78 and 61,516.82

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Solution

The fourth proportional to 106,820.79, 147,449.78 and 61,516.82 is: 84,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820.79 : 147,449.78 = 61,516.82 : x
  2. Step 2: Convert to fraction form
    106,820.79/147,449.78 = 61,516.82/x
  3. Step 3: Cross multiply
    106,820.79x = 147,449.78 × 61,516.82
  4. Step 4: Simplify right side
    106,820.79x = 9,070,640,530.47
  5. Step 5: Solve for x
    x = 9,070,640,530.47/106,820.79
  6. Step 6: Final answer
    x = 84,914.56

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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.