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Finding the Fourth Proportional to 102,093.94, 140,877.39 and 56,760.54

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Solution

The fourth proportional to 102,093.94, 140,877.39 and 56,760.54 is: 78,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,093.94 : 140,877.39 = 56,760.54 : x
  2. Step 2: Convert to fraction form
    102,093.94/140,877.39 = 56,760.54/x
  3. Step 3: Cross multiply
    102,093.94x = 140,877.39 × 56,760.54
  4. Step 4: Simplify right side
    102,093.94x = 7,996,276,730.19
  5. Step 5: Solve for x
    x = 7,996,276,730.19/102,093.94
  6. Step 6: Final answer
    x = 78,322.74

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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.