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Finding the Fourth Proportional to 199,957.32, 299,935.94 and 80,068.23

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Solution

The fourth proportional to 199,957.32, 299,935.94 and 80,068.23 is: 120,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,957.32 : 299,935.94 = 80,068.23 : x
  2. Step 2: Convert to fraction form
    199,957.32/299,935.94 = 80,068.23/x
  3. Step 3: Cross multiply
    199,957.32x = 299,935.94 × 80,068.23
  4. Step 4: Simplify right side
    199,957.32x = 24,015,339,428.85
  5. Step 5: Solve for x
    x = 24,015,339,428.85/199,957.32
  6. Step 6: Final answer
    x = 120,102.33

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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.