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Finding the Fourth Proportional to 301,566.65, 416,166.75 and 163,745.50

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Solution

The fourth proportional to 301,566.65, 416,166.75 and 163,745.50 is: 225,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,566.65 : 416,166.75 = 163,745.50 : x
  2. Step 2: Convert to fraction form
    301,566.65/416,166.75 = 163,745.50/x
  3. Step 3: Cross multiply
    301,566.65x = 416,166.75 × 163,745.50
  4. Step 4: Simplify right side
    301,566.65x = 68,145,433,647.58
  5. Step 5: Solve for x
    x = 68,145,433,647.58/301,566.65
  6. Step 6: Final answer
    x = 225,971.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.