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Finding the Fourth Proportional to 133,223.38, 183,971.05 and 85,559.77

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Solution

The fourth proportional to 133,223.38, 183,971.05 and 85,559.77 is: 118,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,223.38 : 183,971.05 = 85,559.77 : x
  2. Step 2: Convert to fraction form
    133,223.38/183,971.05 = 85,559.77/x
  3. Step 3: Cross multiply
    133,223.38x = 183,971.05 × 85,559.77
  4. Step 4: Simplify right side
    133,223.38x = 15,740,520,724.66
  5. Step 5: Solve for x
    x = 15,740,520,724.66/133,223.38
  6. Step 6: Final answer
    x = 118,151.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.