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Finding the Fourth Proportional to 133,499.63, 200,328.22 and 49,319.37

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Solution

The fourth proportional to 133,499.63, 200,328.22 and 49,319.37 is: 74,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,499.63 : 200,328.22 = 49,319.37 : x
  2. Step 2: Convert to fraction form
    133,499.63/200,328.22 = 49,319.37/x
  3. Step 3: Cross multiply
    133,499.63x = 200,328.22 × 49,319.37
  4. Step 4: Simplify right side
    133,499.63x = 9,880,061,603.62
  5. Step 5: Solve for x
    x = 9,880,061,603.62/133,499.63
  6. Step 6: Final answer
    x = 74,008.16

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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.