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Finding the Fourth Proportional to 305,233.90, 457,920.45 and 94,893.10

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Solution

The fourth proportional to 305,233.90, 457,920.45 and 94,893.10 is: 142,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.90 : 457,920.45 = 94,893.10 : x
  2. Step 2: Convert to fraction form
    305,233.90/457,920.45 = 94,893.10/x
  3. Step 3: Cross multiply
    305,233.90x = 457,920.45 × 94,893.10
  4. Step 4: Simplify right side
    305,233.90x = 43,453,491,053.90
  5. Step 5: Solve for x
    x = 43,453,491,053.90/305,233.90
  6. Step 6: Final answer
    x = 142,361.29

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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.