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Finding the Fourth Proportional to 304,951.68, 420,855.48 and 184,122.36

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Solution

The fourth proportional to 304,951.68, 420,855.48 and 184,122.36 is: 254,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,951.68 : 420,855.48 = 184,122.36 : x
  2. Step 2: Convert to fraction form
    304,951.68/420,855.48 = 184,122.36/x
  3. Step 3: Cross multiply
    304,951.68x = 420,855.48 × 184,122.36
  4. Step 4: Simplify right side
    304,951.68x = 77,488,904,196.53
  5. Step 5: Solve for x
    x = 77,488,904,196.53/304,951.68
  6. Step 6: Final answer
    x = 254,102.24

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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.