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Finding the Fourth Proportional to 165,766.20, 248,866.11 and 98,421.18

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Solution

The fourth proportional to 165,766.20, 248,866.11 and 98,421.18 is: 147,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766.20 : 248,866.11 = 98,421.18 : x
  2. Step 2: Convert to fraction form
    165,766.20/248,866.11 = 98,421.18/x
  3. Step 3: Cross multiply
    165,766.20x = 248,866.11 × 98,421.18
  4. Step 4: Simplify right side
    165,766.20x = 24,493,696,208.21
  5. Step 5: Solve for x
    x = 24,493,696,208.21/165,766.20
  6. Step 6: Final answer
    x = 147,760.50

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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.