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Finding the Fourth Proportional to 133,105.74, 183,684.52 and 72,676.19

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Solution

The fourth proportional to 133,105.74, 183,684.52 and 72,676.19 is: 100,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105.74 : 183,684.52 = 72,676.19 : x
  2. Step 2: Convert to fraction form
    133,105.74/183,684.52 = 72,676.19/x
  3. Step 3: Cross multiply
    133,105.74x = 183,684.52 × 72,676.19
  4. Step 4: Simplify right side
    133,105.74x = 13,349,491,075.58
  5. Step 5: Solve for x
    x = 13,349,491,075.58/133,105.74
  6. Step 6: Final answer
    x = 100,292.38

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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.