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Finding the Fourth Proportional to 295,692.64, 443,772.32 and 137,839.84

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Solution

The fourth proportional to 295,692.64, 443,772.32 and 137,839.84 is: 206,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,692.64 : 443,772.32 = 137,839.84 : x
  2. Step 2: Convert to fraction form
    295,692.64/443,772.32 = 137,839.84/x
  3. Step 3: Cross multiply
    295,692.64x = 443,772.32 × 137,839.84
  4. Step 4: Simplify right side
    295,692.64x = 61,169,505,585.23
  5. Step 5: Solve for x
    x = 61,169,505,585.23/295,692.64
  6. Step 6: Final answer
    x = 206,868.54

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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.