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Finding the Fourth Proportional to 228,033.98, 314,775.69 and 204,119.30

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Solution

The fourth proportional to 228,033.98, 314,775.69 and 204,119.30 is: 281,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,033.98 : 314,775.69 = 204,119.30 : x
  2. Step 2: Convert to fraction form
    228,033.98/314,775.69 = 204,119.30/x
  3. Step 3: Cross multiply
    228,033.98x = 314,775.69 × 204,119.30
  4. Step 4: Simplify right side
    228,033.98x = 64,251,793,499.82
  5. Step 5: Solve for x
    x = 64,251,793,499.82/228,033.98
  6. Step 6: Final answer
    x = 281,764.12

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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.