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Finding the Fourth Proportional to 269,052.60, 403,572.42 and 82,065.72

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Solution

The fourth proportional to 269,052.60, 403,572.42 and 82,065.72 is: 123,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,052.60 : 403,572.42 = 82,065.72 : x
  2. Step 2: Convert to fraction form
    269,052.60/403,572.42 = 82,065.72/x
  3. Step 3: Cross multiply
    269,052.60x = 403,572.42 × 82,065.72
  4. Step 4: Simplify right side
    269,052.60x = 33,119,461,219.44
  5. Step 5: Solve for x
    x = 33,119,461,219.44/269,052.60
  6. Step 6: Final answer
    x = 123,096.60

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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.