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Finding the Fourth Proportional to 224,232.88, 309,443.79 and 122,257.51

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Solution

The fourth proportional to 224,232.88, 309,443.79 and 122,257.51 is: 168,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,232.88 : 309,443.79 = 122,257.51 : x
  2. Step 2: Convert to fraction form
    224,232.88/309,443.79 = 122,257.51/x
  3. Step 3: Cross multiply
    224,232.88x = 309,443.79 × 122,257.51
  4. Step 4: Simplify right side
    224,232.88x = 37,831,825,091.86
  5. Step 5: Solve for x
    x = 37,831,825,091.86/224,232.88
  6. Step 6: Final answer
    x = 168,716.67

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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.