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Finding the Fourth Proportional to 119,268.40, 164,593.42 and 65,554.78

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Solution

The fourth proportional to 119,268.40, 164,593.42 and 65,554.78 is: 90,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,268.40 : 164,593.42 = 65,554.78 : x
  2. Step 2: Convert to fraction form
    119,268.40/164,593.42 = 65,554.78/x
  3. Step 3: Cross multiply
    119,268.40x = 164,593.42 × 65,554.78
  4. Step 4: Simplify right side
    119,268.40x = 10,789,885,437.55
  5. Step 5: Solve for x
    x = 10,789,885,437.55/119,268.40
  6. Step 6: Final answer
    x = 90,467.26

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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.