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Finding the Fourth Proportional to 304,165.64, 419,711.88 and 168,181.28

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Solution

The fourth proportional to 304,165.64, 419,711.88 and 168,181.28 is: 232,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,165.64 : 419,711.88 = 168,181.28 : x
  2. Step 2: Convert to fraction form
    304,165.64/419,711.88 = 168,181.28/x
  3. Step 3: Cross multiply
    304,165.64x = 419,711.88 × 168,181.28
  4. Step 4: Simplify right side
    304,165.64x = 70,587,681,209.61
  5. Step 5: Solve for x
    x = 70,587,681,209.61/304,165.64
  6. Step 6: Final answer
    x = 232,069.87

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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.