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Finding the Fourth Proportional to 102,418.21, 141,323.27 and 57,094

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Solution

The fourth proportional to 102,418.21, 141,323.27 and 57,094 is: 78,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418.21 : 141,323.27 = 57,094 : x
  2. Step 2: Convert to fraction form
    102,418.21/141,323.27 = 57,094/x
  3. Step 3: Cross multiply
    102,418.21x = 141,323.27 × 57,094
  4. Step 4: Simplify right side
    102,418.21x = 8,068,710,777.38
  5. Step 5: Solve for x
    x = 8,068,710,777.38/102,418.21
  6. Step 6: Final answer
    x = 78,781.99

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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.