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Finding the Fourth Proportional to 222,500.64, 307,052.10 and 120,527.40

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Solution

The fourth proportional to 222,500.64, 307,052.10 and 120,527.40 is: 166,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,500.64 : 307,052.10 = 120,527.40 : x
  2. Step 2: Convert to fraction form
    222,500.64/307,052.10 = 120,527.40/x
  3. Step 3: Cross multiply
    222,500.64x = 307,052.10 × 120,527.40
  4. Step 4: Simplify right side
    222,500.64x = 37,008,191,277.54
  5. Step 5: Solve for x
    x = 37,008,191,277.54/222,500.64
  6. Step 6: Final answer
    x = 166,328.47

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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.