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Finding the Fourth Proportional to 208,958.25, 288,362.39 and 119,534.25

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Solution

The fourth proportional to 208,958.25, 288,362.39 and 119,534.25 is: 164,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,958.25 : 288,362.39 = 119,534.25 : x
  2. Step 2: Convert to fraction form
    208,958.25/288,362.39 = 119,534.25/x
  3. Step 3: Cross multiply
    208,958.25x = 288,362.39 × 119,534.25
  4. Step 4: Simplify right side
    208,958.25x = 34,469,181,419.19
  5. Step 5: Solve for x
    x = 34,469,181,419.19/208,958.25
  6. Step 6: Final answer
    x = 164,957.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.