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Finding the Fourth Proportional to 381,692.50, 572,538.78 and 119,036.50

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Solution

The fourth proportional to 381,692.50, 572,538.78 and 119,036.50 is: 178,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,692.50 : 572,538.78 = 119,036.50 : x
  2. Step 2: Convert to fraction form
    381,692.50/572,538.78 = 119,036.50/x
  3. Step 3: Cross multiply
    381,692.50x = 572,538.78 × 119,036.50
  4. Step 4: Simplify right side
    381,692.50x = 68,153,012,485.47
  5. Step 5: Solve for x
    x = 68,153,012,485.47/381,692.50
  6. Step 6: Final answer
    x = 178,554.76

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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.