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Finding the Fourth Proportional to 205,032.30, 307,548.45 and 154,512.60

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Solution

The fourth proportional to 205,032.30, 307,548.45 and 154,512.60 is: 231,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032.30 : 307,548.45 = 154,512.60 : x
  2. Step 2: Convert to fraction form
    205,032.30/307,548.45 = 154,512.60/x
  3. Step 3: Cross multiply
    205,032.30x = 307,548.45 × 154,512.60
  4. Step 4: Simplify right side
    205,032.30x = 47,520,110,635.47
  5. Step 5: Solve for x
    x = 47,520,110,635.47/205,032.30
  6. Step 6: Final answer
    x = 231,768.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.