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Finding the Fourth Proportional to 201,698.23, 303,063.73 and 152,244.09

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Solution

The fourth proportional to 201,698.23, 303,063.73 and 152,244.09 is: 228,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.23 : 303,063.73 = 152,244.09 : x
  2. Step 2: Convert to fraction form
    201,698.23/303,063.73 = 152,244.09/x
  3. Step 3: Cross multiply
    201,698.23x = 303,063.73 × 152,244.09
  4. Step 4: Simplify right side
    201,698.23x = 46,139,661,785.86
  5. Step 5: Solve for x
    x = 46,139,661,785.86/201,698.23
  6. Step 6: Final answer
    x = 228,755.91

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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.