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Finding the Fourth Proportional to 102,306.54, 141,190.12 and 62,022

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Solution

The fourth proportional to 102,306.54, 141,190.12 and 62,022 is: 85,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306.54 : 141,190.12 = 62,022 : x
  2. Step 2: Convert to fraction form
    102,306.54/141,190.12 = 62,022/x
  3. Step 3: Cross multiply
    102,306.54x = 141,190.12 × 62,022
  4. Step 4: Simplify right side
    102,306.54x = 8,756,893,467.59
  5. Step 5: Solve for x
    x = 8,756,893,467.59/102,306.54
  6. Step 6: Final answer
    x = 85,594.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.