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Finding the Fourth Proportional to 137,678.45, 206,517.69 and 48,935.46

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Solution

The fourth proportional to 137,678.45, 206,517.69 and 48,935.46 is: 73,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,678.45 : 206,517.69 = 48,935.46 : x
  2. Step 2: Convert to fraction form
    137,678.45/206,517.69 = 48,935.46/x
  3. Step 3: Cross multiply
    137,678.45x = 206,517.69 × 48,935.46
  4. Step 4: Simplify right side
    137,678.45x = 10,106,038,158.29
  5. Step 5: Solve for x
    x = 10,106,038,158.29/137,678.45
  6. Step 6: Final answer
    x = 73,403.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.