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Finding the Fourth Proportional to 101,746.80, 140,408.10 and 56,424.38

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Solution

The fourth proportional to 101,746.80, 140,408.10 and 56,424.38 is: 77,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.80 : 140,408.10 = 56,424.38 : x
  2. Step 2: Convert to fraction form
    101,746.80/140,408.10 = 56,424.38/x
  3. Step 3: Cross multiply
    101,746.80x = 140,408.10 × 56,424.38
  4. Step 4: Simplify right side
    101,746.80x = 7,922,439,287.44
  5. Step 5: Solve for x
    x = 7,922,439,287.44/101,746.80
  6. Step 6: Final answer
    x = 77,864.26

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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.