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Finding the Fourth Proportional to 141,408.48, 195,143.22 and 77,746.08

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Solution

The fourth proportional to 141,408.48, 195,143.22 and 77,746.08 is: 107,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408.48 : 195,143.22 = 77,746.08 : x
  2. Step 2: Convert to fraction form
    141,408.48/195,143.22 = 77,746.08/x
  3. Step 3: Cross multiply
    141,408.48x = 195,143.22 × 77,746.08
  4. Step 4: Simplify right side
    141,408.48x = 15,171,620,393.58
  5. Step 5: Solve for x
    x = 15,171,620,393.58/141,408.48
  6. Step 6: Final answer
    x = 107,289.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.