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Finding the Fourth Proportional to 122,697.96, 169,322.34 and 69,705.96

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Solution

The fourth proportional to 122,697.96, 169,322.34 and 69,705.96 is: 96,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,697.96 : 169,322.34 = 69,705.96 : x
  2. Step 2: Convert to fraction form
    122,697.96/169,322.34 = 69,705.96/x
  3. Step 3: Cross multiply
    122,697.96x = 169,322.34 × 69,705.96
  4. Step 4: Simplify right side
    122,697.96x = 11,802,776,259.15
  5. Step 5: Solve for x
    x = 11,802,776,259.15/122,697.96
  6. Step 6: Final answer
    x = 96,193.74

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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.