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Finding the Fourth Proportional to 133,494, 200,085.48 and 74,301.36

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Solution

The fourth proportional to 133,494, 200,085.48 and 74,301.36 is: 111,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494 : 200,085.48 = 74,301.36 : x
  2. Step 2: Convert to fraction form
    133,494/200,085.48 = 74,301.36/x
  3. Step 3: Cross multiply
    133,494x = 200,085.48 × 74,301.36
  4. Step 4: Simplify right side
    133,494x = 14,866,623,280.25
  5. Step 5: Solve for x
    x = 14,866,623,280.25/133,494
  6. Step 6: Final answer
    x = 111,365.48

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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.