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Finding the Fourth Proportional to 105,998.63, 158,966.28 and 34,908.17

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Solution

The fourth proportional to 105,998.63, 158,966.28 and 34,908.17 is: 52,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,998.63 : 158,966.28 = 34,908.17 : x
  2. Step 2: Convert to fraction form
    105,998.63/158,966.28 = 34,908.17/x
  3. Step 3: Cross multiply
    105,998.63x = 158,966.28 × 34,908.17
  4. Step 4: Simplify right side
    105,998.63x = 5,549,221,131.68
  5. Step 5: Solve for x
    x = 5,549,221,131.68/105,998.63
  6. Step 6: Final answer
    x = 52,351.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.