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Finding the Fourth Proportional to 101,733.77, 140,392.91 and 56,414.95

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Solution

The fourth proportional to 101,733.77, 140,392.91 and 56,414.95 is: 77,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,733.77 : 140,392.91 = 56,414.95 : x
  2. Step 2: Convert to fraction form
    101,733.77/140,392.91 = 56,414.95/x
  3. Step 3: Cross multiply
    101,733.77x = 140,392.91 × 56,414.95
  4. Step 4: Simplify right side
    101,733.77x = 7,920,258,998.00
  5. Step 5: Solve for x
    x = 7,920,258,998.00/101,733.77
  6. Step 6: Final answer
    x = 77,852.80

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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.