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Finding the Fourth Proportional to 215,256.20, 322,884.60 and 102,910

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Solution

The fourth proportional to 215,256.20, 322,884.60 and 102,910 is: 154,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,256.20 : 322,884.60 = 102,910 : x
  2. Step 2: Convert to fraction form
    215,256.20/322,884.60 = 102,910/x
  3. Step 3: Cross multiply
    215,256.20x = 322,884.60 × 102,910
  4. Step 4: Simplify right side
    215,256.20x = 33,228,054,186.00
  5. Step 5: Solve for x
    x = 33,228,054,186.00/215,256.20
  6. Step 6: Final answer
    x = 154,365.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.