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Finding the Fourth Proportional to 254,694.24, 382,117.68 and 102,813.12

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Solution

The fourth proportional to 254,694.24, 382,117.68 and 102,813.12 is: 154,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694.24 : 382,117.68 = 102,813.12 : x
  2. Step 2: Convert to fraction form
    254,694.24/382,117.68 = 102,813.12/x
  3. Step 3: Cross multiply
    254,694.24x = 382,117.68 × 102,813.12
  4. Step 4: Simplify right side
    254,694.24x = 39,286,710,887.96
  5. Step 5: Solve for x
    x = 39,286,710,887.96/254,694.24
  6. Step 6: Final answer
    x = 154,250.49

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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.