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Finding the Fourth Proportional to 106,536.15, 146,975.16 and 74,725.83

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Solution

The fourth proportional to 106,536.15, 146,975.16 and 74,725.83 is: 103,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,536.15 : 146,975.16 = 74,725.83 : x
  2. Step 2: Convert to fraction form
    106,536.15/146,975.16 = 74,725.83/x
  3. Step 3: Cross multiply
    106,536.15x = 146,975.16 × 74,725.83
  4. Step 4: Simplify right side
    106,536.15x = 10,982,840,820.38
  5. Step 5: Solve for x
    x = 10,982,840,820.38/106,536.15
  6. Step 6: Final answer
    x = 103,090.27

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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.