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Finding the Fourth Proportional to 165,706.80, 248,424.12 and 65,824.08

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Solution

The fourth proportional to 165,706.80, 248,424.12 and 65,824.08 is: 98,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,706.80 : 248,424.12 = 65,824.08 : x
  2. Step 2: Convert to fraction form
    165,706.80/248,424.12 = 65,824.08/x
  3. Step 3: Cross multiply
    165,706.80x = 248,424.12 × 65,824.08
  4. Step 4: Simplify right side
    165,706.80x = 16,352,289,148.81
  5. Step 5: Solve for x
    x = 16,352,289,148.81/165,706.80
  6. Step 6: Final answer
    x = 98,682.06

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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.