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Finding the Fourth Proportional to 182,438.40, 273,651.60 and 82,598.60

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Solution

The fourth proportional to 182,438.40, 273,651.60 and 82,598.60 is: 123,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,438.40 : 273,651.60 = 82,598.60 : x
  2. Step 2: Convert to fraction form
    182,438.40/273,651.60 = 82,598.60/x
  3. Step 3: Cross multiply
    182,438.40x = 273,651.60 × 82,598.60
  4. Step 4: Simplify right side
    182,438.40x = 22,603,239,047.76
  5. Step 5: Solve for x
    x = 22,603,239,047.76/182,438.40
  6. Step 6: Final answer
    x = 123,895.18

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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.