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Finding the Fourth Proportional to 222,882.25, 307,582.91 and 122,280.25

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Solution

The fourth proportional to 222,882.25, 307,582.91 and 122,280.25 is: 168,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,882.25 : 307,582.91 = 122,280.25 : x
  2. Step 2: Convert to fraction form
    222,882.25/307,582.91 = 122,280.25/x
  3. Step 3: Cross multiply
    222,882.25x = 307,582.91 × 122,280.25
  4. Step 4: Simplify right side
    222,882.25x = 37,611,315,130.53
  5. Step 5: Solve for x
    x = 37,611,315,130.53/222,882.25
  6. Step 6: Final answer
    x = 168,749.71

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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.