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Finding the Fourth Proportional to 165,564.80, 248,256.48 and 65,623.76

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Solution

The fourth proportional to 165,564.80, 248,256.48 and 65,623.76 is: 98,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,564.80 : 248,256.48 = 65,623.76 : x
  2. Step 2: Convert to fraction form
    165,564.80/248,256.48 = 65,623.76/x
  3. Step 3: Cross multiply
    165,564.80x = 248,256.48 × 65,623.76
  4. Step 4: Simplify right side
    165,564.80x = 16,291,523,661.96
  5. Step 5: Solve for x
    x = 16,291,523,661.96/165,564.80
  6. Step 6: Final answer
    x = 98,399.68

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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.