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Finding the Fourth Proportional to 214,453.85, 295,981.81 and 118,991.30

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Solution

The fourth proportional to 214,453.85, 295,981.81 and 118,991.30 is: 164,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,453.85 : 295,981.81 = 118,991.30 : x
  2. Step 2: Convert to fraction form
    214,453.85/295,981.81 = 118,991.30/x
  3. Step 3: Cross multiply
    214,453.85x = 295,981.81 × 118,991.30
  4. Step 4: Simplify right side
    214,453.85x = 35,219,260,348.25
  5. Step 5: Solve for x
    x = 35,219,260,348.25/214,453.85
  6. Step 6: Final answer
    x = 164,227.69

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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.