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Finding the Fourth Proportional to 133,165.40, 183,767.01 and 72,736.02

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Solution

The fourth proportional to 133,165.40, 183,767.01 and 72,736.02 is: 100,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165.40 : 183,767.01 = 72,736.02 : x
  2. Step 2: Convert to fraction form
    133,165.40/183,767.01 = 72,736.02/x
  3. Step 3: Cross multiply
    133,165.40x = 183,767.01 × 72,736.02
  4. Step 4: Simplify right side
    133,165.40x = 13,366,480,914.70
  5. Step 5: Solve for x
    x = 13,366,480,914.70/133,165.40
  6. Step 6: Final answer
    x = 100,375.03

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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.