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Finding the Fourth Proportional to 165,842.16, 248,762 and 47,513.60

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Solution

The fourth proportional to 165,842.16, 248,762 and 47,513.60 is: 71,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842.16 : 248,762 = 47,513.60 : x
  2. Step 2: Convert to fraction form
    165,842.16/248,762 = 47,513.60/x
  3. Step 3: Cross multiply
    165,842.16x = 248,762 × 47,513.60
  4. Step 4: Simplify right side
    165,842.16x = 11,819,578,163.20
  5. Step 5: Solve for x
    x = 11,819,578,163.20/165,842.16
  6. Step 6: Final answer
    x = 71,270.04

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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.