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Finding the Fourth Proportional to 202,698.91, 304,097.92 and 142,844.14

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Solution

The fourth proportional to 202,698.91, 304,097.92 and 142,844.14 is: 214,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698.91 : 304,097.92 = 142,844.14 : x
  2. Step 2: Convert to fraction form
    202,698.91/304,097.92 = 142,844.14/x
  3. Step 3: Cross multiply
    202,698.91x = 304,097.92 × 142,844.14
  4. Step 4: Simplify right side
    202,698.91x = 43,438,605,858.19
  5. Step 5: Solve for x
    x = 43,438,605,858.19/202,698.91
  6. Step 6: Final answer
    x = 214,301.13

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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.