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Finding the Fourth Proportional to 248,193.86, 342,479.61 and 146,212.70

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Solution

The fourth proportional to 248,193.86, 342,479.61 and 146,212.70 is: 201,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,193.86 : 342,479.61 = 146,212.70 : x
  2. Step 2: Convert to fraction form
    248,193.86/342,479.61 = 146,212.70/x
  3. Step 3: Cross multiply
    248,193.86x = 342,479.61 × 146,212.70
  4. Step 4: Simplify right side
    248,193.86x = 50,074,866,760.65
  5. Step 5: Solve for x
    x = 50,074,866,760.65/248,193.86
  6. Step 6: Final answer
    x = 201,757.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.