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Finding the Fourth Proportional to 340,022, 510,029.96 and 126,782.66

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Solution

The fourth proportional to 340,022, 510,029.96 and 126,782.66 is: 190,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,022 : 510,029.96 = 126,782.66 : x
  2. Step 2: Convert to fraction form
    340,022/510,029.96 = 126,782.66/x
  3. Step 3: Cross multiply
    340,022x = 510,029.96 × 126,782.66
  4. Step 4: Simplify right side
    340,022x = 64,662,955,008.49
  5. Step 5: Solve for x
    x = 64,662,955,008.49/340,022
  6. Step 6: Final answer
    x = 190,172.86

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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.