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Finding the Fourth Proportional to 137,906.46, 190,304.46 and 76,649.76

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Solution

The fourth proportional to 137,906.46, 190,304.46 and 76,649.76 is: 105,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.46 : 190,304.46 = 76,649.76 : x
  2. Step 2: Convert to fraction form
    137,906.46/190,304.46 = 76,649.76/x
  3. Step 3: Cross multiply
    137,906.46x = 190,304.46 × 76,649.76
  4. Step 4: Simplify right side
    137,906.46x = 14,586,791,185.93
  5. Step 5: Solve for x
    x = 14,586,791,185.93/137,906.46
  6. Step 6: Final answer
    x = 105,773.08

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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.