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Finding the Fourth Proportional to 219,314.45, 328,922.47 and 100,872

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Solution

The fourth proportional to 219,314.45, 328,922.47 and 100,872 is: 151,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314.45 : 328,922.47 = 100,872 : x
  2. Step 2: Convert to fraction form
    219,314.45/328,922.47 = 100,872/x
  3. Step 3: Cross multiply
    219,314.45x = 328,922.47 × 100,872
  4. Step 4: Simplify right side
    219,314.45x = 33,179,066,889.48
  5. Step 5: Solve for x
    x = 33,179,066,889.48/219,314.45
  6. Step 6: Final answer
    x = 151,285.37

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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.