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Finding the Fourth Proportional to 202,698.42, 304,097.18 and 142,843.65

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Solution

The fourth proportional to 202,698.42, 304,097.18 and 142,843.65 is: 214,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698.42 : 304,097.18 = 142,843.65 : x
  2. Step 2: Convert to fraction form
    202,698.42/304,097.18 = 142,843.65/x
  3. Step 3: Cross multiply
    202,698.42x = 304,097.18 × 142,843.65
  4. Step 4: Simplify right side
    202,698.42x = 43,438,351,145.91
  5. Step 5: Solve for x
    x = 43,438,351,145.91/202,698.42
  6. Step 6: Final answer
    x = 214,300.39

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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.