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Finding the Fourth Proportional to 133,073.32, 199,551.66 and 49,909

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Solution

The fourth proportional to 133,073.32, 199,551.66 and 49,909 is: 74,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.32 : 199,551.66 = 49,909 : x
  2. Step 2: Convert to fraction form
    133,073.32/199,551.66 = 49,909/x
  3. Step 3: Cross multiply
    133,073.32x = 199,551.66 × 49,909
  4. Step 4: Simplify right side
    133,073.32x = 9,959,423,798.94
  5. Step 5: Solve for x
    x = 9,959,423,798.94/133,073.32
  6. Step 6: Final answer
    x = 74,841.63

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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.