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Finding the Fourth Proportional to 200,189.54, 275,924.88 and 151,775.44

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Solution

The fourth proportional to 200,189.54, 275,924.88 and 151,775.44 is: 209,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,189.54 : 275,924.88 = 151,775.44 : x
  2. Step 2: Convert to fraction form
    200,189.54/275,924.88 = 151,775.44/x
  3. Step 3: Cross multiply
    200,189.54x = 275,924.88 × 151,775.44
  4. Step 4: Simplify right side
    200,189.54x = 41,878,619,379.14
  5. Step 5: Solve for x
    x = 41,878,619,379.14/200,189.54
  6. Step 6: Final answer
    x = 209,194.84

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1.5x scale

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.