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Finding the Fourth Proportional to 127,692.60, 191,625.30 and 57,535.80

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Solution

The fourth proportional to 127,692.60, 191,625.30 and 57,535.80 is: 86,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,692.60 : 191,625.30 = 57,535.80 : x
  2. Step 2: Convert to fraction form
    127,692.60/191,625.30 = 57,535.80/x
  3. Step 3: Cross multiply
    127,692.60x = 191,625.30 × 57,535.80
  4. Step 4: Simplify right side
    127,692.60x = 11,025,314,935.74
  5. Step 5: Solve for x
    x = 11,025,314,935.74/127,692.60
  6. Step 6: Final answer
    x = 86,342.63

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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.