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Finding the Fourth Proportional to 105,647.68, 158,208.63 and 73,909.17

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Solution

The fourth proportional to 105,647.68, 158,208.63 and 73,909.17 is: 110,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,647.68 : 158,208.63 = 73,909.17 : x
  2. Step 2: Convert to fraction form
    105,647.68/158,208.63 = 73,909.17/x
  3. Step 3: Cross multiply
    105,647.68x = 158,208.63 × 73,909.17
  4. Step 4: Simplify right side
    105,647.68x = 11,693,068,787.26
  5. Step 5: Solve for x
    x = 11,693,068,787.26/105,647.68
  6. Step 6: Final answer
    x = 110,679.84

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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.