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Finding the Fourth Proportional to 101,671.14, 140,302.34 and 56,349.89

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Solution

The fourth proportional to 101,671.14, 140,302.34 and 56,349.89 is: 77,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,671.14 : 140,302.34 = 56,349.89 : x
  2. Step 2: Convert to fraction form
    101,671.14/140,302.34 = 56,349.89/x
  3. Step 3: Cross multiply
    101,671.14x = 140,302.34 × 56,349.89
  4. Step 4: Simplify right side
    101,671.14x = 7,906,020,442.48
  5. Step 5: Solve for x
    x = 7,906,020,442.48/101,671.14
  6. Step 6: Final answer
    x = 77,760.71

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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.