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Finding the Fourth Proportional to 137,595.36, 206,393.36 and 37,756.88

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Solution

The fourth proportional to 137,595.36, 206,393.36 and 37,756.88 is: 56,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,595.36 : 206,393.36 = 37,756.88 : x
  2. Step 2: Convert to fraction form
    137,595.36/206,393.36 = 37,756.88/x
  3. Step 3: Cross multiply
    137,595.36x = 206,393.36 × 37,756.88
  4. Step 4: Simplify right side
    137,595.36x = 7,792,769,326.32
  5. Step 5: Solve for x
    x = 7,792,769,326.32/137,595.36
  6. Step 6: Final answer
    x = 56,635.41

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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.