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Finding the Fourth Proportional to 205,310.46, 307,867.26 and 105,419.22

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Solution

The fourth proportional to 205,310.46, 307,867.26 and 105,419.22 is: 158,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,310.46 : 307,867.26 = 105,419.22 : x
  2. Step 2: Convert to fraction form
    205,310.46/307,867.26 = 105,419.22/x
  3. Step 3: Cross multiply
    205,310.46x = 307,867.26 × 105,419.22
  4. Step 4: Simplify right side
    205,310.46x = 32,455,126,412.74
  5. Step 5: Solve for x
    x = 32,455,126,412.74/205,310.46
  6. Step 6: Final answer
    x = 158,078.29

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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.