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Finding the Fourth Proportional to 105,666, 158,389.80 and 35,521.68

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Solution

The fourth proportional to 105,666, 158,389.80 and 35,521.68 is: 53,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,666 : 158,389.80 = 35,521.68 : x
  2. Step 2: Convert to fraction form
    105,666/158,389.80 = 35,521.68/x
  3. Step 3: Cross multiply
    105,666x = 158,389.80 × 35,521.68
  4. Step 4: Simplify right side
    105,666x = 5,626,271,790.86
  5. Step 5: Solve for x
    x = 5,626,271,790.86/105,666
  6. Step 6: Final answer
    x = 53,245.81

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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.