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Finding the Fourth Proportional to 200,843.52, 301,420.80 and 107,427.84

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Solution

The fourth proportional to 200,843.52, 301,420.80 and 107,427.84 is: 161,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,843.52 : 301,420.80 = 107,427.84 : x
  2. Step 2: Convert to fraction form
    200,843.52/301,420.80 = 107,427.84/x
  3. Step 3: Cross multiply
    200,843.52x = 301,420.80 × 107,427.84
  4. Step 4: Simplify right side
    200,843.52x = 32,380,985,475.07
  5. Step 5: Solve for x
    x = 32,380,985,475.07/200,843.52
  6. Step 6: Final answer
    x = 161,224.95

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1.5x scale

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.