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Finding the Fourth Proportional to 209,642.40, 289,299.96 and 114,148.48

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Solution

The fourth proportional to 209,642.40, 289,299.96 and 114,148.48 is: 157,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,642.40 : 289,299.96 = 114,148.48 : x
  2. Step 2: Convert to fraction form
    209,642.40/289,299.96 = 114,148.48/x
  3. Step 3: Cross multiply
    209,642.40x = 289,299.96 × 114,148.48
  4. Step 4: Simplify right side
    209,642.40x = 33,023,150,698.06
  5. Step 5: Solve for x
    x = 33,023,150,698.06/209,642.40
  6. Step 6: Final answer
    x = 157,521.33

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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.