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Finding the Fourth Proportional to 137,582.80, 206,394.71 and 48,828.88

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Solution

The fourth proportional to 137,582.80, 206,394.71 and 48,828.88 is: 73,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,582.80 : 206,394.71 = 48,828.88 : x
  2. Step 2: Convert to fraction form
    137,582.80/206,394.71 = 48,828.88/x
  3. Step 3: Cross multiply
    137,582.80x = 206,394.71 × 48,828.88
  4. Step 4: Simplify right side
    137,582.80x = 10,078,021,517.43
  5. Step 5: Solve for x
    x = 10,078,021,517.43/137,582.80
  6. Step 6: Final answer
    x = 73,250.59

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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.