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Finding the Fourth Proportional to 304,106.95, 419,650.63 and 168,132.97

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Solution

The fourth proportional to 304,106.95, 419,650.63 and 168,132.97 is: 232,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,106.95 : 419,650.63 = 168,132.97 : x
  2. Step 2: Convert to fraction form
    304,106.95/419,650.63 = 168,132.97/x
  3. Step 3: Cross multiply
    304,106.95x = 419,650.63 × 168,132.97
  4. Step 4: Simplify right side
    304,106.95x = 70,557,106,784.27
  5. Step 5: Solve for x
    x = 70,557,106,784.27/304,106.95
  6. Step 6: Final answer
    x = 232,014.12

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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.