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Finding the Fourth Proportional to 137,539.98, 206,287.84 and 37,676.84

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Solution

The fourth proportional to 137,539.98, 206,287.84 and 37,676.84 is: 56,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,539.98 : 206,287.84 = 37,676.84 : x
  2. Step 2: Convert to fraction form
    137,539.98/206,287.84 = 37,676.84/x
  3. Step 3: Cross multiply
    137,539.98x = 206,287.84 × 37,676.84
  4. Step 4: Simplify right side
    137,539.98x = 7,772,272,957.28
  5. Step 5: Solve for x
    x = 7,772,272,957.28/137,539.98
  6. Step 6: Final answer
    x = 56,509.19

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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.