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Finding the Fourth Proportional to 189,533.39, 261,446.42 and 122,465.39

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Solution

The fourth proportional to 189,533.39, 261,446.42 and 122,465.39 is: 168,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,533.39 : 261,446.42 = 122,465.39 : x
  2. Step 2: Convert to fraction form
    189,533.39/261,446.42 = 122,465.39/x
  3. Step 3: Cross multiply
    189,533.39x = 261,446.42 × 122,465.39
  4. Step 4: Simplify right side
    189,533.39x = 32,018,137,789.40
  5. Step 5: Solve for x
    x = 32,018,137,789.40/189,533.39
  6. Step 6: Final answer
    x = 168,931.38

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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.