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Finding the Fourth Proportional to 222,570.57, 307,147.70 and 120,597.14

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Solution

The fourth proportional to 222,570.57, 307,147.70 and 120,597.14 is: 166,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,570.57 : 307,147.70 = 120,597.14 : x
  2. Step 2: Convert to fraction form
    222,570.57/307,147.70 = 120,597.14/x
  3. Step 3: Cross multiply
    222,570.57x = 307,147.70 × 120,597.14
  4. Step 4: Simplify right side
    222,570.57x = 37,041,132,038.85
  5. Step 5: Solve for x
    x = 37,041,132,038.85/222,570.57
  6. Step 6: Final answer
    x = 166,424.21

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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.