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Finding the Fourth Proportional to 214,133.14, 295,223.45 and 184,239.62

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Solution

The fourth proportional to 214,133.14, 295,223.45 and 184,239.62 is: 254,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,133.14 : 295,223.45 = 184,239.62 : x
  2. Step 2: Convert to fraction form
    214,133.14/295,223.45 = 184,239.62/x
  3. Step 3: Cross multiply
    214,133.14x = 295,223.45 × 184,239.62
  4. Step 4: Simplify right side
    214,133.14x = 54,391,856,243.09
  5. Step 5: Solve for x
    x = 54,391,856,243.09/214,133.14
  6. Step 6: Final answer
    x = 254,009.52

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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.