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Finding the Fourth Proportional to 304,097.58, 419,647.26 and 168,128.02

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Solution

The fourth proportional to 304,097.58, 419,647.26 and 168,128.02 is: 232,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,097.58 : 419,647.26 = 168,128.02 : x
  2. Step 2: Convert to fraction form
    304,097.58/419,647.26 = 168,128.02/x
  3. Step 3: Cross multiply
    304,097.58x = 419,647.26 × 168,128.02
  4. Step 4: Simplify right side
    304,097.58x = 70,554,462,922.23
  5. Step 5: Solve for x
    x = 70,554,462,922.23/304,097.58
  6. Step 6: Final answer
    x = 232,012.58

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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.