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Finding the Fourth Proportional to 254,690.24, 382,111.68 and 102,809.12

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Solution

The fourth proportional to 254,690.24, 382,111.68 and 102,809.12 is: 154,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,690.24 : 382,111.68 = 102,809.12 : x
  2. Step 2: Convert to fraction form
    254,690.24/382,111.68 = 102,809.12/x
  3. Step 3: Cross multiply
    254,690.24x = 382,111.68 × 102,809.12
  4. Step 4: Simplify right side
    254,690.24x = 39,284,565,562.52
  5. Step 5: Solve for x
    x = 39,284,565,562.52/254,690.24
  6. Step 6: Final answer
    x = 154,244.49

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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.