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Finding the Fourth Proportional to 204,750.30, 307,125.45 and 151,606.20

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Solution

The fourth proportional to 204,750.30, 307,125.45 and 151,606.20 is: 227,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,750.30 : 307,125.45 = 151,606.20 : x
  2. Step 2: Convert to fraction form
    204,750.30/307,125.45 = 151,606.20/x
  3. Step 3: Cross multiply
    204,750.30x = 307,125.45 × 151,606.20
  4. Step 4: Simplify right side
    204,750.30x = 46,562,122,397.79
  5. Step 5: Solve for x
    x = 46,562,122,397.79/204,750.30
  6. Step 6: Final answer
    x = 227,409.30

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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.