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Finding the Fourth Proportional to 209,171.94, 288,661.54 and 113,684.80

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Solution

The fourth proportional to 209,171.94, 288,661.54 and 113,684.80 is: 156,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,171.94 : 288,661.54 = 113,684.80 : x
  2. Step 2: Convert to fraction form
    209,171.94/288,661.54 = 113,684.80/x
  3. Step 3: Cross multiply
    209,171.94x = 288,661.54 × 113,684.80
  4. Step 4: Simplify right side
    209,171.94x = 32,816,429,442.59
  5. Step 5: Solve for x
    x = 32,816,429,442.59/209,171.94
  6. Step 6: Final answer
    x = 156,887.34

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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.