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Finding the Fourth Proportional to 141,407.86, 195,137.86 and 77,745.17

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Solution

The fourth proportional to 141,407.86, 195,137.86 and 77,745.17 is: 107,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.86 : 195,137.86 = 77,745.17 : x
  2. Step 2: Convert to fraction form
    141,407.86/195,137.86 = 77,745.17/x
  3. Step 3: Cross multiply
    141,407.86x = 195,137.86 × 77,745.17
  4. Step 4: Simplify right side
    141,407.86x = 15,171,026,099.14
  5. Step 5: Solve for x
    x = 15,171,026,099.14/141,407.86
  6. Step 6: Final answer
    x = 107,285.59

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1.5x scale

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.