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Finding the Fourth Proportional to 200,923.40, 301,730.70 and 194,702.60

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Solution

The fourth proportional to 200,923.40, 301,730.70 and 194,702.60 is: 292,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,923.40 : 301,730.70 = 194,702.60 : x
  2. Step 2: Convert to fraction form
    200,923.40/301,730.70 = 194,702.60/x
  3. Step 3: Cross multiply
    200,923.40x = 301,730.70 × 194,702.60
  4. Step 4: Simplify right side
    200,923.40x = 58,747,751,789.82
  5. Step 5: Solve for x
    x = 58,747,751,789.82/200,923.40
  6. Step 6: Final answer
    x = 292,388.80

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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.