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Finding the Fourth Proportional to 137,880.33, 206,795.85 and 36,678.93

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Solution

The fourth proportional to 137,880.33, 206,795.85 and 36,678.93 is: 55,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,880.33 : 206,795.85 = 36,678.93 : x
  2. Step 2: Convert to fraction form
    137,880.33/206,795.85 = 36,678.93/x
  3. Step 3: Cross multiply
    137,880.33x = 206,795.85 × 36,678.93
  4. Step 4: Simplify right side
    137,880.33x = 7,585,050,506.44
  5. Step 5: Solve for x
    x = 7,585,050,506.44/137,880.33
  6. Step 6: Final answer
    x = 55,011.84

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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.