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Finding the Fourth Proportional to 133,223.86, 199,911.39 and 48,973.06

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Solution

The fourth proportional to 133,223.86, 199,911.39 and 48,973.06 is: 73,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,223.86 : 199,911.39 = 48,973.06 : x
  2. Step 2: Convert to fraction form
    133,223.86/199,911.39 = 48,973.06/x
  3. Step 3: Cross multiply
    133,223.86x = 199,911.39 × 48,973.06
  4. Step 4: Simplify right side
    133,223.86x = 9,790,272,497.15
  5. Step 5: Solve for x
    x = 9,790,272,497.15/133,223.86
  6. Step 6: Final answer
    x = 73,487.38

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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.