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Finding the Fourth Proportional to 205,289.78, 283,237.90 and 119,232.14

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Solution

The fourth proportional to 205,289.78, 283,237.90 and 119,232.14 is: 164,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,289.78 : 283,237.90 = 119,232.14 : x
  2. Step 2: Convert to fraction form
    205,289.78/283,237.90 = 119,232.14/x
  3. Step 3: Cross multiply
    205,289.78x = 283,237.90 × 119,232.14
  4. Step 4: Simplify right side
    205,289.78x = 33,771,059,231.84
  5. Step 5: Solve for x
    x = 33,771,059,231.84/205,289.78
  6. Step 6: Final answer
    x = 164,504.34

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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.