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Finding the Fourth Proportional to 106,204.60, 146,487.71 and 69,894.48

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Solution

The fourth proportional to 106,204.60, 146,487.71 and 69,894.48 is: 96,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,204.60 : 146,487.71 = 69,894.48 : x
  2. Step 2: Convert to fraction form
    106,204.60/146,487.71 = 69,894.48/x
  3. Step 3: Cross multiply
    106,204.60x = 146,487.71 × 69,894.48
  4. Step 4: Simplify right side
    106,204.60x = 10,238,682,395.84
  5. Step 5: Solve for x
    x = 10,238,682,395.84/106,204.60
  6. Step 6: Final answer
    x = 96,405.26

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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.