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Finding the Fourth Proportional to 133,111, 199,695.66 and 50,005

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Solution

The fourth proportional to 133,111, 199,695.66 and 50,005 is: 75,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111 : 199,695.66 = 50,005 : x
  2. Step 2: Convert to fraction form
    133,111/199,695.66 = 50,005/x
  3. Step 3: Cross multiply
    133,111x = 199,695.66 × 50,005
  4. Step 4: Simplify right side
    133,111x = 9,985,781,478.30
  5. Step 5: Solve for x
    x = 9,985,781,478.30/133,111
  6. Step 6: Final answer
    x = 75,018.45

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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.