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Finding the Fourth Proportional to 161,464.85, 222,852.33 and 106,920.88

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Solution

The fourth proportional to 161,464.85, 222,852.33 and 106,920.88 is: 147,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,464.85 : 222,852.33 = 106,920.88 : x
  2. Step 2: Convert to fraction form
    161,464.85/222,852.33 = 106,920.88/x
  3. Step 3: Cross multiply
    161,464.85x = 222,852.33 × 106,920.88
  4. Step 4: Simplify right side
    161,464.85x = 23,827,567,233.65
  5. Step 5: Solve for x
    x = 23,827,567,233.65/161,464.85
  6. Step 6: Final answer
    x = 147,571.23

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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.