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Finding the Fourth Proportional to 209,358.21, 288,913.53 and 113,866.50

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Solution

The fourth proportional to 209,358.21, 288,913.53 and 113,866.50 is: 157,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358.21 : 288,913.53 = 113,866.50 : x
  2. Step 2: Convert to fraction form
    209,358.21/288,913.53 = 113,866.50/x
  3. Step 3: Cross multiply
    209,358.21x = 288,913.53 × 113,866.50
  4. Step 4: Simplify right side
    209,358.21x = 32,897,571,388.28
  5. Step 5: Solve for x
    x = 32,897,571,388.28/209,358.21
  6. Step 6: Final answer
    x = 157,135.33

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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.