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Finding the Fourth Proportional to 205,707.78, 283,868.01 and 119,666.97

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Solution

The fourth proportional to 205,707.78, 283,868.01 and 119,666.97 is: 165,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.78 : 283,868.01 = 119,666.97 : x
  2. Step 2: Convert to fraction form
    205,707.78/283,868.01 = 119,666.97/x
  3. Step 3: Cross multiply
    205,707.78x = 283,868.01 × 119,666.97
  4. Step 4: Simplify right side
    205,707.78x = 33,969,624,636.63
  5. Step 5: Solve for x
    x = 33,969,624,636.63/205,707.78
  6. Step 6: Final answer
    x = 165,135.34

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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.