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Finding the Fourth Proportional to 214,220, 295,500.48 and 133,608.80

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Solution

The fourth proportional to 214,220, 295,500.48 and 133,608.80 is: 184,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,220 : 295,500.48 = 133,608.80 : x
  2. Step 2: Convert to fraction form
    214,220/295,500.48 = 133,608.80/x
  3. Step 3: Cross multiply
    214,220x = 295,500.48 × 133,608.80
  4. Step 4: Simplify right side
    214,220x = 39,481,464,532.22
  5. Step 5: Solve for x
    x = 39,481,464,532.22/214,220
  6. Step 6: Final answer
    x = 184,303.35

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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.