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Finding the Fourth Proportional to 301,951.89, 416,702.93 and 165,996.23

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Solution

The fourth proportional to 301,951.89, 416,702.93 and 165,996.23 is: 229,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,951.89 : 416,702.93 = 165,996.23 : x
  2. Step 2: Convert to fraction form
    301,951.89/416,702.93 = 165,996.23/x
  3. Step 3: Cross multiply
    301,951.89x = 416,702.93 × 165,996.23
  4. Step 4: Simplify right side
    301,951.89x = 69,171,112,496.46
  5. Step 5: Solve for x
    x = 69,171,112,496.46/301,951.89
  6. Step 6: Final answer
    x = 229,079.91

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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.