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Finding the Fourth Proportional to 165,805.33, 248,756.42 and 53,483.06

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Solution

The fourth proportional to 165,805.33, 248,756.42 and 53,483.06 is: 80,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.33 : 248,756.42 = 53,483.06 : x
  2. Step 2: Convert to fraction form
    165,805.33/248,756.42 = 53,483.06/x
  3. Step 3: Cross multiply
    165,805.33x = 248,756.42 × 53,483.06
  4. Step 4: Simplify right side
    165,805.33x = 13,304,253,426.17
  5. Step 5: Solve for x
    x = 13,304,253,426.17/165,805.33
  6. Step 6: Final answer
    x = 80,240.20

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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.