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Finding the Fourth Proportional to 304,098.07, 419,647.95 and 168,128.52

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Solution

The fourth proportional to 304,098.07, 419,647.95 and 168,128.52 is: 232,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,098.07 : 419,647.95 = 168,128.52 : x
  2. Step 2: Convert to fraction form
    304,098.07/419,647.95 = 168,128.52/x
  3. Step 3: Cross multiply
    304,098.07x = 419,647.95 × 168,128.52
  4. Step 4: Simplify right side
    304,098.07x = 70,554,788,754.53
  5. Step 5: Solve for x
    x = 70,554,788,754.53/304,098.07
  6. Step 6: Final answer
    x = 232,013.27

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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.