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Finding the Fourth Proportional to 189,533.64, 261,446.77 and 122,465.64

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Solution

The fourth proportional to 189,533.64, 261,446.77 and 122,465.64 is: 168,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,533.64 : 261,446.77 = 122,465.64 : x
  2. Step 2: Convert to fraction form
    189,533.64/261,446.77 = 122,465.64/x
  3. Step 3: Cross multiply
    189,533.64x = 261,446.77 × 122,465.64
  4. Step 4: Simplify right side
    189,533.64x = 32,018,246,013.98
  5. Step 5: Solve for x
    x = 32,018,246,013.98/189,533.64
  6. Step 6: Final answer
    x = 168,931.73

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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.