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Finding the Fourth Proportional to 165,634.94, 228,606 and 97,647.86

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Solution

The fourth proportional to 165,634.94, 228,606 and 97,647.86 is: 134,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,634.94 : 228,606 = 97,647.86 : x
  2. Step 2: Convert to fraction form
    165,634.94/228,606 = 97,647.86/x
  3. Step 3: Cross multiply
    165,634.94x = 228,606 × 97,647.86
  4. Step 4: Simplify right side
    165,634.94x = 22,322,886,683.16
  5. Step 5: Solve for x
    x = 22,322,886,683.16/165,634.94
  6. Step 6: Final answer
    x = 134,771.60

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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.