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Finding the Fourth Proportional to 205,915.20, 309,072.53 and 99,374.13

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Solution

The fourth proportional to 205,915.20, 309,072.53 and 99,374.13 is: 149,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.20 : 309,072.53 = 99,374.13 : x
  2. Step 2: Convert to fraction form
    205,915.20/309,072.53 = 99,374.13/x
  3. Step 3: Cross multiply
    205,915.20x = 309,072.53 × 99,374.13
  4. Step 4: Simplify right side
    205,915.20x = 30,713,814,037.77
  5. Step 5: Solve for x
    x = 30,713,814,037.77/205,915.20
  6. Step 6: Final answer
    x = 149,157.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.