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Finding the Fourth Proportional to 189,511.38, 261,518.94 and 114,045.30

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Solution

The fourth proportional to 189,511.38, 261,518.94 and 114,045.30 is: 157,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,511.38 : 261,518.94 = 114,045.30 : x
  2. Step 2: Convert to fraction form
    189,511.38/261,518.94 = 114,045.30/x
  3. Step 3: Cross multiply
    189,511.38x = 261,518.94 × 114,045.30
  4. Step 4: Simplify right side
    189,511.38x = 29,825,005,967.98
  5. Step 5: Solve for x
    x = 29,825,005,967.98/189,511.38
  6. Step 6: Final answer
    x = 157,378.44

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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.