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Finding the Fourth Proportional to 103,180.68, 154,563.66 and 53,829

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Solution

The fourth proportional to 103,180.68, 154,563.66 and 53,829 is: 80,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,180.68 : 154,563.66 = 53,829 : x
  2. Step 2: Convert to fraction form
    103,180.68/154,563.66 = 53,829/x
  3. Step 3: Cross multiply
    103,180.68x = 154,563.66 × 53,829
  4. Step 4: Simplify right side
    103,180.68x = 8,320,007,254.14
  5. Step 5: Solve for x
    x = 8,320,007,254.14/103,180.68
  6. Step 6: Final answer
    x = 80,635.32

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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.