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Finding the Fourth Proportional to 119,241.82, 164,550.29 and 65,526.77

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Solution

The fourth proportional to 119,241.82, 164,550.29 and 65,526.77 is: 90,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,241.82 : 164,550.29 = 65,526.77 : x
  2. Step 2: Convert to fraction form
    119,241.82/164,550.29 = 65,526.77/x
  3. Step 3: Cross multiply
    119,241.82x = 164,550.29 × 65,526.77
  4. Step 4: Simplify right side
    119,241.82x = 10,782,449,090.01
  5. Step 5: Solve for x
    x = 10,782,449,090.01/119,241.82
  6. Step 6: Final answer
    x = 90,425.06

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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.