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Finding the Fourth Proportional to 106,407.14, 146,837.31 and 58,007.92

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Solution

The fourth proportional to 106,407.14, 146,837.31 and 58,007.92 is: 80,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,407.14 : 146,837.31 = 58,007.92 : x
  2. Step 2: Convert to fraction form
    106,407.14/146,837.31 = 58,007.92/x
  3. Step 3: Cross multiply
    106,407.14x = 146,837.31 × 58,007.92
  4. Step 4: Simplify right side
    106,407.14x = 8,517,727,035.17
  5. Step 5: Solve for x
    x = 8,517,727,035.17/106,407.14
  6. Step 6: Final answer
    x = 80,048.45

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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.