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Finding the Fourth Proportional to 105,475.68, 158,237.22 and 35,353.20

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Solution

The fourth proportional to 105,475.68, 158,237.22 and 35,353.20 is: 53,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,475.68 : 158,237.22 = 35,353.20 : x
  2. Step 2: Convert to fraction form
    105,475.68/158,237.22 = 35,353.20/x
  3. Step 3: Cross multiply
    105,475.68x = 158,237.22 × 35,353.20
  4. Step 4: Simplify right side
    105,475.68x = 5,594,192,086.10
  5. Step 5: Solve for x
    x = 5,594,192,086.10/105,475.68
  6. Step 6: Final answer
    x = 53,037.74

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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.