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Finding the Fourth Proportional to 137,729.96, 190,087.20 and 76,490.12

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Solution

The fourth proportional to 137,729.96, 190,087.20 and 76,490.12 is: 105,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729.96 : 190,087.20 = 76,490.12 : x
  2. Step 2: Convert to fraction form
    137,729.96/190,087.20 = 76,490.12/x
  3. Step 3: Cross multiply
    137,729.96x = 190,087.20 × 76,490.12
  4. Step 4: Simplify right side
    137,729.96x = 14,539,792,738.46
  5. Step 5: Solve for x
    x = 14,539,792,738.46/137,729.96
  6. Step 6: Final answer
    x = 105,567.39

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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.