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Finding the Fourth Proportional to 133,824.88, 184,678.33 and 74,208.88

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Solution

The fourth proportional to 133,824.88, 184,678.33 and 74,208.88 is: 102,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.88 : 184,678.33 = 74,208.88 : x
  2. Step 2: Convert to fraction form
    133,824.88/184,678.33 = 74,208.88/x
  3. Step 3: Cross multiply
    133,824.88x = 184,678.33 × 74,208.88
  4. Step 4: Simplify right side
    133,824.88x = 13,704,771,106.18
  5. Step 5: Solve for x
    x = 13,704,771,106.18/133,824.88
  6. Step 6: Final answer
    x = 102,408.25

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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.