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Finding the Fourth Proportional to 252,907.82, 379,034.68 and 189,228.32

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Solution

The fourth proportional to 252,907.82, 379,034.68 and 189,228.32 is: 283,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,907.82 : 379,034.68 = 189,228.32 : x
  2. Step 2: Convert to fraction form
    252,907.82/379,034.68 = 189,228.32/x
  3. Step 3: Cross multiply
    252,907.82x = 379,034.68 × 189,228.32
  4. Step 4: Simplify right side
    252,907.82x = 71,724,095,718.14
  5. Step 5: Solve for x
    x = 71,724,095,718.14/252,907.82
  6. Step 6: Final answer
    x = 283,597.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.