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Finding the Fourth Proportional to 189,958.34, 262,141.44 and 105,073.58

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Solution

The fourth proportional to 189,958.34, 262,141.44 and 105,073.58 is: 145,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,958.34 : 262,141.44 = 105,073.58 : x
  2. Step 2: Convert to fraction form
    189,958.34/262,141.44 = 105,073.58/x
  3. Step 3: Cross multiply
    189,958.34x = 262,141.44 × 105,073.58
  4. Step 4: Simplify right side
    189,958.34x = 27,544,139,567.16
  5. Step 5: Solve for x
    x = 27,544,139,567.16/189,958.34
  6. Step 6: Final answer
    x = 145,000.95

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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.