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Finding the Fourth Proportional to 137,955.86, 206,942.60 and 36,752.23

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Solution

The fourth proportional to 137,955.86, 206,942.60 and 36,752.23 is: 55,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,955.86 : 206,942.60 = 36,752.23 : x
  2. Step 2: Convert to fraction form
    137,955.86/206,942.60 = 36,752.23/x
  3. Step 3: Cross multiply
    137,955.86x = 206,942.60 × 36,752.23
  4. Step 4: Simplify right side
    137,955.86x = 7,605,602,175.83
  5. Step 5: Solve for x
    x = 7,605,602,175.83/137,955.86
  6. Step 6: Final answer
    x = 55,130.69

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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.