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Finding the Fourth Proportional to 137,761.58, 190,108.50 and 77,327.48

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Solution

The fourth proportional to 137,761.58, 190,108.50 and 77,327.48 is: 106,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,761.58 : 190,108.50 = 77,327.48 : x
  2. Step 2: Convert to fraction form
    137,761.58/190,108.50 = 77,327.48/x
  3. Step 3: Cross multiply
    137,761.58x = 190,108.50 × 77,327.48
  4. Step 4: Simplify right side
    137,761.58x = 14,700,611,231.58
  5. Step 5: Solve for x
    x = 14,700,611,231.58/137,761.58
  6. Step 6: Final answer
    x = 106,710.53

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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.