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Finding the Fourth Proportional to 105,202.92, 157,770.30 and 35,063.40

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Solution

The fourth proportional to 105,202.92, 157,770.30 and 35,063.40 is: 52,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202.92 : 157,770.30 = 35,063.40 : x
  2. Step 2: Convert to fraction form
    105,202.92/157,770.30 = 35,063.40/x
  3. Step 3: Cross multiply
    105,202.92x = 157,770.30 × 35,063.40
  4. Step 4: Simplify right side
    105,202.92x = 5,531,963,137.02
  5. Step 5: Solve for x
    x = 5,531,963,137.02/105,202.92
  6. Step 6: Final answer
    x = 52,583.74

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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.