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Finding the Fourth Proportional to 209,536.33, 289,160.13 and 114,043.71

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Solution

The fourth proportional to 209,536.33, 289,160.13 and 114,043.71 is: 157,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.33 : 289,160.13 = 114,043.71 : x
  2. Step 2: Convert to fraction form
    209,536.33/289,160.13 = 114,043.71/x
  3. Step 3: Cross multiply
    209,536.33x = 289,160.13 × 114,043.71
  4. Step 4: Simplify right side
    209,536.33x = 32,976,894,009.28
  5. Step 5: Solve for x
    x = 32,976,894,009.28/209,536.33
  6. Step 6: Final answer
    x = 157,380.32

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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.