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Finding the Fourth Proportional to 214,244, 295,533.60 and 133,632.80

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Solution

The fourth proportional to 214,244, 295,533.60 and 133,632.80 is: 184,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,244 : 295,533.60 = 133,632.80 : x
  2. Step 2: Convert to fraction form
    214,244/295,533.60 = 133,632.80/x
  3. Step 3: Cross multiply
    214,244x = 295,533.60 × 133,632.80
  4. Step 4: Simplify right side
    214,244x = 39,492,982,462.08
  5. Step 5: Solve for x
    x = 39,492,982,462.08/214,244
  6. Step 6: Final answer
    x = 184,336.47

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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.