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Finding the Fourth Proportional to 235,201.84, 324,567.64 and 133,225

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Solution

The fourth proportional to 235,201.84, 324,567.64 and 133,225 is: 183,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201.84 : 324,567.64 = 133,225 : x
  2. Step 2: Convert to fraction form
    235,201.84/324,567.64 = 133,225/x
  3. Step 3: Cross multiply
    235,201.84x = 324,567.64 × 133,225
  4. Step 4: Simplify right side
    235,201.84x = 43,240,523,839
  5. Step 5: Solve for x
    x = 43,240,523,839/235,201.84
  6. Step 6: Final answer
    x = 183,844.33

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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.