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Finding the Fourth Proportional to 183,861.60, 275,792.40 and 137,205.60

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Solution

The fourth proportional to 183,861.60, 275,792.40 and 137,205.60 is: 205,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,861.60 : 275,792.40 = 137,205.60 : x
  2. Step 2: Convert to fraction form
    183,861.60/275,792.40 = 137,205.60/x
  3. Step 3: Cross multiply
    183,861.60x = 275,792.40 × 137,205.60
  4. Step 4: Simplify right side
    183,861.60x = 37,840,261,717.44
  5. Step 5: Solve for x
    x = 37,840,261,717.44/183,861.60
  6. Step 6: Final answer
    x = 205,808.40

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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.