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Finding the Fourth Proportional to 165,808.36, 248,748.08 and 53,495

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Solution

The fourth proportional to 165,808.36, 248,748.08 and 53,495 is: 80,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,808.36 : 248,748.08 = 53,495 : x
  2. Step 2: Convert to fraction form
    165,808.36/248,748.08 = 53,495/x
  3. Step 3: Cross multiply
    165,808.36x = 248,748.08 × 53,495
  4. Step 4: Simplify right side
    165,808.36x = 13,306,778,539.60
  5. Step 5: Solve for x
    x = 13,306,778,539.60/165,808.36
  6. Step 6: Final answer
    x = 80,253.97

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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.