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Finding the Fourth Proportional to 209,889.09, 289,646.96 and 114,395.76

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Solution

The fourth proportional to 209,889.09, 289,646.96 and 114,395.76 is: 157,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.09 : 289,646.96 = 114,395.76 : x
  2. Step 2: Convert to fraction form
    209,889.09/289,646.96 = 114,395.76/x
  3. Step 3: Cross multiply
    209,889.09x = 289,646.96 × 114,395.76
  4. Step 4: Simplify right side
    209,889.09x = 33,134,383,548.91
  5. Step 5: Solve for x
    x = 33,134,383,548.91/209,889.09
  6. Step 6: Final answer
    x = 157,866.15

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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.