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Finding the Fourth Proportional to 137,762.70, 206,644.05 and 120,266.70

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Solution

The fourth proportional to 137,762.70, 206,644.05 and 120,266.70 is: 180,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,762.70 : 206,644.05 = 120,266.70 : x
  2. Step 2: Convert to fraction form
    137,762.70/206,644.05 = 120,266.70/x
  3. Step 3: Cross multiply
    137,762.70x = 206,644.05 × 120,266.70
  4. Step 4: Simplify right side
    137,762.70x = 24,852,397,968.14
  5. Step 5: Solve for x
    x = 24,852,397,968.14/137,762.70
  6. Step 6: Final answer
    x = 180,400.05

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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.