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Finding the Fourth Proportional to 165,396.49, 248,176.71 and 65,554.47

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Solution

The fourth proportional to 165,396.49, 248,176.71 and 65,554.47 is: 98,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,396.49 : 248,176.71 = 65,554.47 : x
  2. Step 2: Convert to fraction form
    165,396.49/248,176.71 = 65,554.47/x
  3. Step 3: Cross multiply
    165,396.49x = 248,176.71 × 65,554.47
  4. Step 4: Simplify right side
    165,396.49x = 16,269,091,121.74
  5. Step 5: Solve for x
    x = 16,269,091,121.74/165,396.49
  6. Step 6: Final answer
    x = 98,364.19

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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.