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Finding the Fourth Proportional to 105,394.70, 158,052.33 and 34,298.71

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Solution

The fourth proportional to 105,394.70, 158,052.33 and 34,298.71 is: 51,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,394.70 : 158,052.33 = 34,298.71 : x
  2. Step 2: Convert to fraction form
    105,394.70/158,052.33 = 34,298.71/x
  3. Step 3: Cross multiply
    105,394.70x = 158,052.33 × 34,298.71
  4. Step 4: Simplify right side
    105,394.70x = 5,420,990,636.36
  5. Step 5: Solve for x
    x = 5,420,990,636.36/105,394.70
  6. Step 6: Final answer
    x = 51,435.13

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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.