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Finding the Fourth Proportional to 137,158.99, 205,803.18 and 48,454.27

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Solution

The fourth proportional to 137,158.99, 205,803.18 and 48,454.27 is: 72,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.99 : 205,803.18 = 48,454.27 : x
  2. Step 2: Convert to fraction form
    137,158.99/205,803.18 = 48,454.27/x
  3. Step 3: Cross multiply
    137,158.99x = 205,803.18 × 48,454.27
  4. Step 4: Simplify right side
    137,158.99x = 9,972,042,336.07
  5. Step 5: Solve for x
    x = 9,972,042,336.07/137,158.99
  6. Step 6: Final answer
    x = 72,704.26

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Why These Related Problems?

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