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Finding the Fourth Proportional to 165,615.13, 248,260.69 and 65,742.13

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Solution

The fourth proportional to 165,615.13, 248,260.69 and 65,742.13 is: 98,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,615.13 : 248,260.69 = 65,742.13 : x
  2. Step 2: Convert to fraction form
    165,615.13/248,260.69 = 65,742.13/x
  3. Step 3: Cross multiply
    165,615.13x = 248,260.69 × 65,742.13
  4. Step 4: Simplify right side
    165,615.13x = 16,321,186,555.87
  5. Step 5: Solve for x
    x = 16,321,186,555.87/165,615.13
  6. Step 6: Final answer
    x = 98,548.89

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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.