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Finding the Fourth Proportional to 254,960.78, 382,465.16 and 75,046.31

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Solution

The fourth proportional to 254,960.78, 382,465.16 and 75,046.31 is: 112,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,960.78 : 382,465.16 = 75,046.31 : x
  2. Step 2: Convert to fraction form
    254,960.78/382,465.16 = 75,046.31/x
  3. Step 3: Cross multiply
    254,960.78x = 382,465.16 × 75,046.31
  4. Step 4: Simplify right side
    254,960.78x = 28,702,598,389.67
  5. Step 5: Solve for x
    x = 28,702,598,389.67/254,960.78
  6. Step 6: Final answer
    x = 112,576.53

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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.