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Finding the Fourth Proportional to 165,442.40, 248,163.60 and 103,234.40

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Solution

The fourth proportional to 165,442.40, 248,163.60 and 103,234.40 is: 154,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,442.40 : 248,163.60 = 103,234.40 : x
  2. Step 2: Convert to fraction form
    165,442.40/248,163.60 = 103,234.40/x
  3. Step 3: Cross multiply
    165,442.40x = 248,163.60 × 103,234.40
  4. Step 4: Simplify right side
    165,442.40x = 25,619,020,347.84
  5. Step 5: Solve for x
    x = 25,619,020,347.84/165,442.40
  6. Step 6: Final answer
    x = 154,851.60

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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.