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Finding the Fourth Proportional to 263,907.86, 364,241.61 and 150,730.61

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Solution

The fourth proportional to 263,907.86, 364,241.61 and 150,730.61 is: 208,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,907.86 : 364,241.61 = 150,730.61 : x
  2. Step 2: Convert to fraction form
    263,907.86/364,241.61 = 150,730.61/x
  3. Step 3: Cross multiply
    263,907.86x = 364,241.61 × 150,730.61
  4. Step 4: Simplify right side
    263,907.86x = 54,902,358,241.47
  5. Step 5: Solve for x
    x = 54,902,358,241.47/263,907.86
  6. Step 6: Final answer
    x = 208,036.09

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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.