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Finding the Fourth Proportional to 281,692.76, 422,554.52 and 71,332.52

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Solution

The fourth proportional to 281,692.76, 422,554.52 and 71,332.52 is: 107,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,692.76 : 422,554.52 = 71,332.52 : x
  2. Step 2: Convert to fraction form
    281,692.76/422,554.52 = 71,332.52/x
  3. Step 3: Cross multiply
    281,692.76x = 422,554.52 × 71,332.52
  4. Step 4: Simplify right side
    281,692.76x = 30,141,878,748.99
  5. Step 5: Solve for x
    x = 30,141,878,748.99/281,692.76
  6. Step 6: Final answer
    x = 107,002.67

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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.