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Finding the Fourth Proportional to 200,517.78, 276,702.30 and 114,486.60

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Solution

The fourth proportional to 200,517.78, 276,702.30 and 114,486.60 is: 157,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,517.78 : 276,702.30 = 114,486.60 : x
  2. Step 2: Convert to fraction form
    200,517.78/276,702.30 = 114,486.60/x
  3. Step 3: Cross multiply
    200,517.78x = 276,702.30 × 114,486.60
  4. Step 4: Simplify right side
    200,517.78x = 31,678,705,539.18
  5. Step 5: Solve for x
    x = 31,678,705,539.18/200,517.78
  6. Step 6: Final answer
    x = 157,984.52

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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.