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Finding the Fourth Proportional to 125,997, 189,023.46 and 46,034.79

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Solution

The fourth proportional to 125,997, 189,023.46 and 46,034.79 is: 69,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,997 : 189,023.46 = 46,034.79 : x
  2. Step 2: Convert to fraction form
    125,997/189,023.46 = 46,034.79/x
  3. Step 3: Cross multiply
    125,997x = 189,023.46 × 46,034.79
  4. Step 4: Simplify right side
    125,997x = 8,701,655,286.17
  5. Step 5: Solve for x
    x = 8,701,655,286.17/125,997
  6. Step 6: Final answer
    x = 69,062.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.