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Finding the Fourth Proportional to 212,533.75, 292,797.70 and 147,891.82

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Solution

The fourth proportional to 212,533.75, 292,797.70 and 147,891.82 is: 203,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,533.75 : 292,797.70 = 147,891.82 : x
  2. Step 2: Convert to fraction form
    212,533.75/292,797.70 = 147,891.82/x
  3. Step 3: Cross multiply
    212,533.75x = 292,797.70 × 147,891.82
  4. Step 4: Simplify right side
    212,533.75x = 43,302,383,643.09
  5. Step 5: Solve for x
    x = 43,302,383,643.09/212,533.75
  6. Step 6: Final answer
    x = 203,743.57

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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.