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Finding the Fourth Proportional to 141,564.36, 212,126.16 and 52,794

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Solution

The fourth proportional to 141,564.36, 212,126.16 and 52,794 is: 79,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,564.36 : 212,126.16 = 52,794 : x
  2. Step 2: Convert to fraction form
    141,564.36/212,126.16 = 52,794/x
  3. Step 3: Cross multiply
    141,564.36x = 212,126.16 × 52,794
  4. Step 4: Simplify right side
    141,564.36x = 11,198,988,491.04
  5. Step 5: Solve for x
    x = 11,198,988,491.04/141,564.36
  6. Step 6: Final answer
    x = 79,108.81

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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.