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Finding the Fourth Proportional to 222,696.95, 307,322.63 and 120,722.60

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Solution

The fourth proportional to 222,696.95, 307,322.63 and 120,722.60 is: 166,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,696.95 : 307,322.63 = 120,722.60 : x
  2. Step 2: Convert to fraction form
    222,696.95/307,322.63 = 120,722.60/x
  3. Step 3: Cross multiply
    222,696.95x = 307,322.63 × 120,722.60
  4. Step 4: Simplify right side
    222,696.95x = 37,100,784,792.21
  5. Step 5: Solve for x
    x = 37,100,784,792.21/222,696.95
  6. Step 6: Final answer
    x = 166,597.64

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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.