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Finding the Fourth Proportional to 189,692.46, 284,454.45 and 100,927.26

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Solution

The fourth proportional to 189,692.46, 284,454.45 and 100,927.26 is: 151,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,692.46 : 284,454.45 = 100,927.26 : x
  2. Step 2: Convert to fraction form
    189,692.46/284,454.45 = 100,927.26/x
  3. Step 3: Cross multiply
    189,692.46x = 284,454.45 × 100,927.26
  4. Step 4: Simplify right side
    189,692.46x = 28,709,208,233.31
  5. Step 5: Solve for x
    x = 28,709,208,233.31/189,692.46
  6. Step 6: Final answer
    x = 151,346.07

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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.