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Finding the Fourth Proportional to 139,764.42, 209,644.20 and 34,583.40

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Solution

The fourth proportional to 139,764.42, 209,644.20 and 34,583.40 is: 51,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,764.42 : 209,644.20 = 34,583.40 : x
  2. Step 2: Convert to fraction form
    139,764.42/209,644.20 = 34,583.40/x
  3. Step 3: Cross multiply
    139,764.42x = 209,644.20 × 34,583.40
  4. Step 4: Simplify right side
    139,764.42x = 7,250,209,226.28
  5. Step 5: Solve for x
    x = 7,250,209,226.28/139,764.42
  6. Step 6: Final answer
    x = 51,874.50

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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.