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Finding the Fourth Proportional to 173,235, 259,852.50 and 41,907

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Solution

The fourth proportional to 173,235, 259,852.50 and 41,907 is: 62,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,235 : 259,852.50 = 41,907 : x
  2. Step 2: Convert to fraction form
    173,235/259,852.50 = 41,907/x
  3. Step 3: Cross multiply
    173,235x = 259,852.50 × 41,907
  4. Step 4: Simplify right side
    173,235x = 10,889,638,717.50
  5. Step 5: Solve for x
    x = 10,889,638,717.50/173,235
  6. Step 6: Final answer
    x = 62,860.50

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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.