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Finding the Fourth Proportional to 102,518.37, 141,479.44 and 57,200.31

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Solution

The fourth proportional to 102,518.37, 141,479.44 and 57,200.31 is: 78,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,518.37 : 141,479.44 = 57,200.31 : x
  2. Step 2: Convert to fraction form
    102,518.37/141,479.44 = 57,200.31/x
  3. Step 3: Cross multiply
    102,518.37x = 141,479.44 × 57,200.31
  4. Step 4: Simplify right side
    102,518.37x = 8,092,667,826.63
  5. Step 5: Solve for x
    x = 8,092,667,826.63/102,518.37
  6. Step 6: Final answer
    x = 78,938.71

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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.