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Finding the Fourth Proportional to 210,099.63, 289,939.59 and 114,608.33

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Solution

The fourth proportional to 210,099.63, 289,939.59 and 114,608.33 is: 158,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,099.63 : 289,939.59 = 114,608.33 : x
  2. Step 2: Convert to fraction form
    210,099.63/289,939.59 = 114,608.33/x
  3. Step 3: Cross multiply
    210,099.63x = 289,939.59 × 114,608.33
  4. Step 4: Simplify right side
    210,099.63x = 33,229,490,188.05
  5. Step 5: Solve for x
    x = 33,229,490,188.05/210,099.63
  6. Step 6: Final answer
    x = 158,160.63

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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.