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Finding the Fourth Proportional to 165,348, 248,022 and 40,689

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Solution

The fourth proportional to 165,348, 248,022 and 40,689 is: 61,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,348 : 248,022 = 40,689 : x
  2. Step 2: Convert to fraction form
    165,348/248,022 = 40,689/x
  3. Step 3: Cross multiply
    165,348x = 248,022 × 40,689
  4. Step 4: Simplify right side
    165,348x = 10,091,767,158
  5. Step 5: Solve for x
    x = 10,091,767,158/165,348
  6. Step 6: Final answer
    x = 61,033.50

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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.