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Finding the Fourth Proportional to 165,813.51, 248,768.72 and 53,491.25

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Solution

The fourth proportional to 165,813.51, 248,768.72 and 53,491.25 is: 80,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813.51 : 248,768.72 = 53,491.25 : x
  2. Step 2: Convert to fraction form
    165,813.51/248,768.72 = 53,491.25/x
  3. Step 3: Cross multiply
    165,813.51x = 248,768.72 × 53,491.25
  4. Step 4: Simplify right side
    165,813.51x = 13,306,948,282.40
  5. Step 5: Solve for x
    x = 13,306,948,282.40/165,813.51
  6. Step 6: Final answer
    x = 80,252.50

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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.