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Finding the Fourth Proportional to 137,146.44, 205,666.49 and 47,172.05

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Solution

The fourth proportional to 137,146.44, 205,666.49 and 47,172.05 is: 70,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,146.44 : 205,666.49 = 47,172.05 : x
  2. Step 2: Convert to fraction form
    137,146.44/205,666.49 = 47,172.05/x
  3. Step 3: Cross multiply
    137,146.44x = 205,666.49 × 47,172.05
  4. Step 4: Simplify right side
    137,146.44x = 9,701,709,545.11
  5. Step 5: Solve for x
    x = 9,701,709,545.11/137,146.44
  6. Step 6: Final answer
    x = 70,739.78

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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.