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Finding the Fourth Proportional to 94,138, 141,265.36 and 54,713.68

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Solution

The fourth proportional to 94,138, 141,265.36 and 54,713.68 is: 82,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,138 : 141,265.36 = 54,713.68 : x
  2. Step 2: Convert to fraction form
    94,138/141,265.36 = 54,713.68/x
  3. Step 3: Cross multiply
    94,138x = 141,265.36 × 54,713.68
  4. Step 4: Simplify right side
    94,138x = 7,729,147,702.12
  5. Step 5: Solve for x
    x = 7,729,147,702.12/94,138
  6. Step 6: Final answer
    x = 82,104.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.