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Finding the Fourth Proportional to 260,893.98, 359,968.86 and 165,365.82

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Solution

The fourth proportional to 260,893.98, 359,968.86 and 165,365.82 is: 228,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,893.98 : 359,968.86 = 165,365.82 : x
  2. Step 2: Convert to fraction form
    260,893.98/359,968.86 = 165,365.82/x
  3. Step 3: Cross multiply
    260,893.98x = 359,968.86 × 165,365.82
  4. Step 4: Simplify right side
    260,893.98x = 59,526,545,708.37
  5. Step 5: Solve for x
    x = 59,526,545,708.37/260,893.98
  6. Step 6: Final answer
    x = 228,163.74

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1.5x scale

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.