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Finding the Fourth Proportional to 199,056.36, 274,699.62 and 109,633

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Solution

The fourth proportional to 199,056.36, 274,699.62 and 109,633 is: 151,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056.36 : 274,699.62 = 109,633 : x
  2. Step 2: Convert to fraction form
    199,056.36/274,699.62 = 109,633/x
  3. Step 3: Cross multiply
    199,056.36x = 274,699.62 × 109,633
  4. Step 4: Simplify right side
    199,056.36x = 30,116,143,439.46
  5. Step 5: Solve for x
    x = 30,116,143,439.46/199,056.36
  6. Step 6: Final answer
    x = 151,294.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.