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Finding the Fourth Proportional to 222,971.59, 307,699.21 and 120,994.46

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Solution

The fourth proportional to 222,971.59, 307,699.21 and 120,994.46 is: 166,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.59 : 307,699.21 = 120,994.46 : x
  2. Step 2: Convert to fraction form
    222,971.59/307,699.21 = 120,994.46/x
  3. Step 3: Cross multiply
    222,971.59x = 307,699.21 × 120,994.46
  4. Step 4: Simplify right side
    222,971.59x = 37,229,899,756.38
  5. Step 5: Solve for x
    x = 37,229,899,756.38/222,971.59
  6. Step 6: Final answer
    x = 166,971.50

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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.