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Finding the Fourth Proportional to 104,408, 144,083.14 and 56,661.36

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Solution

The fourth proportional to 104,408, 144,083.14 and 56,661.36 is: 78,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,408 : 144,083.14 = 56,661.36 : x
  2. Step 2: Convert to fraction form
    104,408/144,083.14 = 56,661.36/x
  3. Step 3: Cross multiply
    104,408x = 144,083.14 × 56,661.36
  4. Step 4: Simplify right side
    104,408x = 8,163,946,665.47
  5. Step 5: Solve for x
    x = 8,163,946,665.47/104,408
  6. Step 6: Final answer
    x = 78,192.73

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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.