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Finding the Fourth Proportional to 208,892.06, 288,240.63 and 119,450.78

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Solution

The fourth proportional to 208,892.06, 288,240.63 and 119,450.78 is: 164,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,892.06 : 288,240.63 = 119,450.78 : x
  2. Step 2: Convert to fraction form
    208,892.06/288,240.63 = 119,450.78/x
  3. Step 3: Cross multiply
    208,892.06x = 288,240.63 × 119,450.78
  4. Step 4: Simplify right side
    208,892.06x = 34,430,568,081.19
  5. Step 5: Solve for x
    x = 34,430,568,081.19/208,892.06
  6. Step 6: Final answer
    x = 164,824.69

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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.