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Finding the Fourth Proportional to 102,120.78, 140,926.59 and 57,408.78

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Solution

The fourth proportional to 102,120.78, 140,926.59 and 57,408.78 is: 79,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.78 : 140,926.59 = 57,408.78 : x
  2. Step 2: Convert to fraction form
    102,120.78/140,926.59 = 57,408.78/x
  3. Step 3: Cross multiply
    102,120.78x = 140,926.59 × 57,408.78
  4. Step 4: Simplify right side
    102,120.78x = 8,090,423,601.46
  5. Step 5: Solve for x
    x = 8,090,423,601.46/102,120.78
  6. Step 6: Final answer
    x = 79,224.07

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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.