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Finding the Fourth Proportional to 222,425.98, 306,948.01 and 120,452.24

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Solution

The fourth proportional to 222,425.98, 306,948.01 and 120,452.24 is: 166,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,425.98 : 306,948.01 = 120,452.24 : x
  2. Step 2: Convert to fraction form
    222,425.98/306,948.01 = 120,452.24/x
  3. Step 3: Cross multiply
    222,425.98x = 306,948.01 × 120,452.24
  4. Step 4: Simplify right side
    222,425.98x = 36,972,575,368.04
  5. Step 5: Solve for x
    x = 36,972,575,368.04/222,425.98
  6. Step 6: Final answer
    x = 166,224.18

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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.