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Finding the Fourth Proportional to 165,608, 228,596.64 and 98,538.56

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Solution

The fourth proportional to 165,608, 228,596.64 and 98,538.56 is: 136,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,608 : 228,596.64 = 98,538.56 : x
  2. Step 2: Convert to fraction form
    165,608/228,596.64 = 98,538.56/x
  3. Step 3: Cross multiply
    165,608x = 228,596.64 × 98,538.56
  4. Step 4: Simplify right side
    165,608x = 22,525,583,726.44
  5. Step 5: Solve for x
    x = 22,525,583,726.44/165,608
  6. Step 6: Final answer
    x = 136,017.49

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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.