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Finding the Fourth Proportional to 165,588, 248,405.36 and 53,230.56

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Solution

The fourth proportional to 165,588, 248,405.36 and 53,230.56 is: 79,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,588 : 248,405.36 = 53,230.56 : x
  2. Step 2: Convert to fraction form
    165,588/248,405.36 = 53,230.56/x
  3. Step 3: Cross multiply
    165,588x = 248,405.36 × 53,230.56
  4. Step 4: Simplify right side
    165,588x = 13,222,756,419.80
  5. Step 5: Solve for x
    x = 13,222,756,419.80/165,588
  6. Step 6: Final answer
    x = 79,853.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.