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Finding the Fourth Proportional to 105,863.40, 158,910.30 and 59,207.40

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Solution

The fourth proportional to 105,863.40, 158,910.30 and 59,207.40 is: 88,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863.40 : 158,910.30 = 59,207.40 : x
  2. Step 2: Convert to fraction form
    105,863.40/158,910.30 = 59,207.40/x
  3. Step 3: Cross multiply
    105,863.40x = 158,910.30 × 59,207.40
  4. Step 4: Simplify right side
    105,863.40x = 9,408,665,696.22
  5. Step 5: Solve for x
    x = 9,408,665,696.22/105,863.40
  6. Step 6: Final answer
    x = 88,875.53

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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.