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Finding the Fourth Proportional to 133,110, 199,694.16 and 50,004

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Solution

The fourth proportional to 133,110, 199,694.16 and 50,004 is: 75,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,110 : 199,694.16 = 50,004 : x
  2. Step 2: Convert to fraction form
    133,110/199,694.16 = 50,004/x
  3. Step 3: Cross multiply
    133,110x = 199,694.16 × 50,004
  4. Step 4: Simplify right side
    133,110x = 9,985,506,776.64
  5. Step 5: Solve for x
    x = 9,985,506,776.64/133,110
  6. Step 6: Final answer
    x = 75,016.95

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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.