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Finding the Fourth Proportional to 204,032.30, 306,048.45 and 141,824.30

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Solution

The fourth proportional to 204,032.30, 306,048.45 and 141,824.30 is: 212,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.30 : 306,048.45 = 141,824.30 : x
  2. Step 2: Convert to fraction form
    204,032.30/306,048.45 = 141,824.30/x
  3. Step 3: Cross multiply
    204,032.30x = 306,048.45 × 141,824.30
  4. Step 4: Simplify right side
    204,032.30x = 43,405,107,187.34
  5. Step 5: Solve for x
    x = 43,405,107,187.34/204,032.30
  6. Step 6: Final answer
    x = 212,736.45

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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.