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Finding the Fourth Proportional to 105,434.99, 158,160.59 and 30,556.16

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Solution

The fourth proportional to 105,434.99, 158,160.59 and 30,556.16 is: 45,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,434.99 : 158,160.59 = 30,556.16 : x
  2. Step 2: Convert to fraction form
    105,434.99/158,160.59 = 30,556.16/x
  3. Step 3: Cross multiply
    105,434.99x = 158,160.59 × 30,556.16
  4. Step 4: Simplify right side
    105,434.99x = 4,832,780,293.73
  5. Step 5: Solve for x
    x = 4,832,780,293.73/105,434.99
  6. Step 6: Final answer
    x = 45,836.59

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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.