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Finding the Fourth Proportional to 209,753.51, 289,438.27 and 117,858.20

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Solution

The fourth proportional to 209,753.51, 289,438.27 and 117,858.20 is: 162,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753.51 : 289,438.27 = 117,858.20 : x
  2. Step 2: Convert to fraction form
    209,753.51/289,438.27 = 117,858.20/x
  3. Step 3: Cross multiply
    209,753.51x = 289,438.27 × 117,858.20
  4. Step 4: Simplify right side
    209,753.51x = 34,112,673,513.31
  5. Step 5: Solve for x
    x = 34,112,673,513.31/209,753.51
  6. Step 6: Final answer
    x = 162,632.19

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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.