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Finding the Fourth Proportional to 189,257, 261,178.44 and 122,305.64

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Solution

The fourth proportional to 189,257, 261,178.44 and 122,305.64 is: 168,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,257 : 261,178.44 = 122,305.64 : x
  2. Step 2: Convert to fraction form
    189,257/261,178.44 = 122,305.64/x
  3. Step 3: Cross multiply
    189,257x = 261,178.44 × 122,305.64
  4. Step 4: Simplify right side
    189,257x = 31,943,596,258.40
  5. Step 5: Solve for x
    x = 31,943,596,258.40/189,257
  6. Step 6: Final answer
    x = 168,784.23

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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.