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Finding the Fourth Proportional to 105,903.75, 158,821.97 and 34,809.98

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Solution

The fourth proportional to 105,903.75, 158,821.97 and 34,809.98 is: 52,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.75 : 158,821.97 = 34,809.98 : x
  2. Step 2: Convert to fraction form
    105,903.75/158,821.97 = 34,809.98/x
  3. Step 3: Cross multiply
    105,903.75x = 158,821.97 × 34,809.98
  4. Step 4: Simplify right side
    105,903.75x = 5,528,588,631.10
  5. Step 5: Solve for x
    x = 5,528,588,631.10/105,903.75
  6. Step 6: Final answer
    x = 52,203.90

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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.