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Finding the Fourth Proportional to 133,141.50, 199,741.50 and 50,035.50

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Solution

The fourth proportional to 133,141.50, 199,741.50 and 50,035.50 is: 75,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.50 : 199,741.50 = 50,035.50 : x
  2. Step 2: Convert to fraction form
    133,141.50/199,741.50 = 50,035.50/x
  3. Step 3: Cross multiply
    133,141.50x = 199,741.50 × 50,035.50
  4. Step 4: Simplify right side
    133,141.50x = 9,994,165,823.25
  5. Step 5: Solve for x
    x = 9,994,165,823.25/133,141.50
  6. Step 6: Final answer
    x = 75,064.24

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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.