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Finding the Fourth Proportional to 105,425.40, 158,138.10 and 35,297.40

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Solution

The fourth proportional to 105,425.40, 158,138.10 and 35,297.40 is: 52,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.40 : 158,138.10 = 35,297.40 : x
  2. Step 2: Convert to fraction form
    105,425.40/158,138.10 = 35,297.40/x
  3. Step 3: Cross multiply
    105,425.40x = 158,138.10 × 35,297.40
  4. Step 4: Simplify right side
    105,425.40x = 5,581,863,770.94
  5. Step 5: Solve for x
    x = 5,581,863,770.94/105,425.40
  6. Step 6: Final answer
    x = 52,946.10

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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.