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Finding the Fourth Proportional to 138,146.46, 190,631.21 and 77,705.07

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Solution

The fourth proportional to 138,146.46, 190,631.21 and 77,705.07 is: 107,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.46 : 190,631.21 = 77,705.07 : x
  2. Step 2: Convert to fraction form
    138,146.46/190,631.21 = 77,705.07/x
  3. Step 3: Cross multiply
    138,146.46x = 190,631.21 × 77,705.07
  4. Step 4: Simplify right side
    138,146.46x = 14,813,011,517.23
  5. Step 5: Solve for x
    x = 14,813,011,517.23/138,146.46
  6. Step 6: Final answer
    x = 107,226.86

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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.