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Finding the Fourth Proportional to 208,945.63, 288,344.96 and 119,521.63

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Solution

The fourth proportional to 208,945.63, 288,344.96 and 119,521.63 is: 164,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,945.63 : 288,344.96 = 119,521.63 : x
  2. Step 2: Convert to fraction form
    208,945.63/288,344.96 = 119,521.63/x
  3. Step 3: Cross multiply
    208,945.63x = 288,344.96 × 119,521.63
  4. Step 4: Simplify right side
    208,945.63x = 34,463,458,478.56
  5. Step 5: Solve for x
    x = 34,463,458,478.56/208,945.63
  6. Step 6: Final answer
    x = 164,939.84

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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.