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Finding the Fourth Proportional to 304,125.14, 419,690.22 and 168,165.02

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Solution

The fourth proportional to 304,125.14, 419,690.22 and 168,165.02 is: 232,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,125.14 : 419,690.22 = 168,165.02 : x
  2. Step 2: Convert to fraction form
    304,125.14/419,690.22 = 168,165.02/x
  3. Step 3: Cross multiply
    304,125.14x = 419,690.22 × 168,165.02
  4. Step 4: Simplify right side
    304,125.14x = 70,577,214,240.10
  5. Step 5: Solve for x
    x = 70,577,214,240.10/304,125.14
  6. Step 6: Final answer
    x = 232,066.36

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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.