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Finding the Fourth Proportional to 204,054, 281,467.44 and 140,281.08

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Solution

The fourth proportional to 204,054, 281,467.44 and 140,281.08 is: 193,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,054 : 281,467.44 = 140,281.08 : x
  2. Step 2: Convert to fraction form
    204,054/281,467.44 = 140,281.08/x
  3. Step 3: Cross multiply
    204,054x = 281,467.44 × 140,281.08
  4. Step 4: Simplify right side
    204,054x = 39,484,556,468.04
  5. Step 5: Solve for x
    x = 39,484,556,468.04/204,054
  6. Step 6: Final answer
    x = 193,500.53

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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.