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Finding the Fourth Proportional to 96,408.61, 144,361.41 and 77,585.83

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Solution

The fourth proportional to 96,408.61, 144,361.41 and 77,585.83 is: 116,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408.61 : 144,361.41 = 77,585.83 : x
  2. Step 2: Convert to fraction form
    96,408.61/144,361.41 = 77,585.83/x
  3. Step 3: Cross multiply
    96,408.61x = 144,361.41 × 77,585.83
  4. Step 4: Simplify right side
    96,408.61x = 11,200,399,814.82
  5. Step 5: Solve for x
    x = 11,200,399,814.82/96,408.61
  6. Step 6: Final answer
    x = 116,176.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.