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Finding the Fourth Proportional to 305,137.50, 457,706.34 and 94,775.46

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Solution

The fourth proportional to 305,137.50, 457,706.34 and 94,775.46 is: 142,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,137.50 : 457,706.34 = 94,775.46 : x
  2. Step 2: Convert to fraction form
    305,137.50/457,706.34 = 94,775.46/x
  3. Step 3: Cross multiply
    305,137.50x = 457,706.34 × 94,775.46
  4. Step 4: Simplify right side
    305,137.50x = 43,379,328,918.42
  5. Step 5: Solve for x
    x = 43,379,328,918.42/305,137.50
  6. Step 6: Final answer
    x = 142,163.22

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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.