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Finding the Fourth Proportional to 105,269.08, 157,906.50 and 35,145.88

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Solution

The fourth proportional to 105,269.08, 157,906.50 and 35,145.88 is: 52,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269.08 : 157,906.50 = 35,145.88 : x
  2. Step 2: Convert to fraction form
    105,269.08/157,906.50 = 35,145.88/x
  3. Step 3: Cross multiply
    105,269.08x = 157,906.50 × 35,145.88
  4. Step 4: Simplify right side
    105,269.08x = 5,549,762,900.22
  5. Step 5: Solve for x
    x = 5,549,762,900.22/105,269.08
  6. Step 6: Final answer
    x = 52,719.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.