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Finding the Fourth Proportional to 140,527.22, 210,692.24 and 51,769.32

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Solution

The fourth proportional to 140,527.22, 210,692.24 and 51,769.32 is: 77,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,527.22 : 210,692.24 = 51,769.32 : x
  2. Step 2: Convert to fraction form
    140,527.22/210,692.24 = 51,769.32/x
  3. Step 3: Cross multiply
    140,527.22x = 210,692.24 × 51,769.32
  4. Step 4: Simplify right side
    140,527.22x = 10,907,393,994.08
  5. Step 5: Solve for x
    x = 10,907,393,994.08/140,527.22
  6. Step 6: Final answer
    x = 77,617.66

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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.