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Finding the Fourth Proportional to 116,378.12, 160,615.50 and 65,390.96

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Solution

The fourth proportional to 116,378.12, 160,615.50 and 65,390.96 is: 90,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,378.12 : 160,615.50 = 65,390.96 : x
  2. Step 2: Convert to fraction form
    116,378.12/160,615.50 = 65,390.96/x
  3. Step 3: Cross multiply
    116,378.12x = 160,615.50 × 65,390.96
  4. Step 4: Simplify right side
    116,378.12x = 10,502,801,735.88
  5. Step 5: Solve for x
    x = 10,502,801,735.88/116,378.12
  6. Step 6: Final answer
    x = 90,247.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.