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Finding the Fourth Proportional to 122,596.89, 169,259.19 and 97,205.82

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Solution

The fourth proportional to 122,596.89, 169,259.19 and 97,205.82 is: 134,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,596.89 : 169,259.19 = 97,205.82 : x
  2. Step 2: Convert to fraction form
    122,596.89/169,259.19 = 97,205.82/x
  3. Step 3: Cross multiply
    122,596.89x = 169,259.19 × 97,205.82
  4. Step 4: Simplify right side
    122,596.89x = 16,452,978,779.63
  5. Step 5: Solve for x
    x = 16,452,978,779.63/122,596.89
  6. Step 6: Final answer
    x = 134,203.88

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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.