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Finding the Fourth Proportional to 106,242, 146,613.96 and 59,138

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Solution

The fourth proportional to 106,242, 146,613.96 and 59,138 is: 81,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,242 : 146,613.96 = 59,138 : x
  2. Step 2: Convert to fraction form
    106,242/146,613.96 = 59,138/x
  3. Step 3: Cross multiply
    106,242x = 146,613.96 × 59,138
  4. Step 4: Simplify right side
    106,242x = 8,670,456,366.48
  5. Step 5: Solve for x
    x = 8,670,456,366.48/106,242
  6. Step 6: Final answer
    x = 81,610.44

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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.