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Finding the Fourth Proportional to 222,570.14, 307,146.38 and 120,598.34

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Solution

The fourth proportional to 222,570.14, 307,146.38 and 120,598.34 is: 166,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,570.14 : 307,146.38 = 120,598.34 : x
  2. Step 2: Convert to fraction form
    222,570.14/307,146.38 = 120,598.34/x
  3. Step 3: Cross multiply
    222,570.14x = 307,146.38 × 120,598.34
  4. Step 4: Simplify right side
    222,570.14x = 37,041,341,426.29
  5. Step 5: Solve for x
    x = 37,041,341,426.29/222,570.14
  6. Step 6: Final answer
    x = 166,425.48

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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.