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Finding the Fourth Proportional to 214,218, 295,497.72 and 133,606.80

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Solution

The fourth proportional to 214,218, 295,497.72 and 133,606.80 is: 184,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,218 : 295,497.72 = 133,606.80 : x
  2. Step 2: Convert to fraction form
    214,218/295,497.72 = 133,606.80/x
  3. Step 3: Cross multiply
    214,218x = 295,497.72 × 133,606.80
  4. Step 4: Simplify right side
    214,218x = 39,480,504,776.50
  5. Step 5: Solve for x
    x = 39,480,504,776.50/214,218
  6. Step 6: Final answer
    x = 184,300.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.