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Finding the Fourth Proportional to 209,438.32, 289,020.90 and 116,300.92

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Solution

The fourth proportional to 209,438.32, 289,020.90 and 116,300.92 is: 160,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,438.32 : 289,020.90 = 116,300.92 : x
  2. Step 2: Convert to fraction form
    209,438.32/289,020.90 = 116,300.92/x
  3. Step 3: Cross multiply
    209,438.32x = 289,020.90 × 116,300.92
  4. Step 4: Simplify right side
    209,438.32x = 33,613,396,569.23
  5. Step 5: Solve for x
    x = 33,613,396,569.23/209,438.32
  6. Step 6: Final answer
    x = 160,493.06

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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.