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Finding the Fourth Proportional to 137,392.85, 206,072.88 and 37,561.77

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Solution

The fourth proportional to 137,392.85, 206,072.88 and 37,561.77 is: 56,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,392.85 : 206,072.88 = 37,561.77 : x
  2. Step 2: Convert to fraction form
    137,392.85/206,072.88 = 37,561.77/x
  3. Step 3: Cross multiply
    137,392.85x = 206,072.88 × 37,561.77
  4. Step 4: Simplify right side
    137,392.85x = 7,740,461,980.94
  5. Step 5: Solve for x
    x = 7,740,461,980.94/137,392.85
  6. Step 6: Final answer
    x = 56,338.17

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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.