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Finding the Fourth Proportional to 189,692.01, 261,780.26 and 104,814.54

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Solution

The fourth proportional to 189,692.01, 261,780.26 and 104,814.54 is: 144,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,692.01 : 261,780.26 = 104,814.54 : x
  2. Step 2: Convert to fraction form
    189,692.01/261,780.26 = 104,814.54/x
  3. Step 3: Cross multiply
    189,692.01x = 261,780.26 × 104,814.54
  4. Step 4: Simplify right side
    189,692.01x = 27,438,377,008.91
  5. Step 5: Solve for x
    x = 27,438,377,008.91/189,692.01
  6. Step 6: Final answer
    x = 144,646.98

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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.