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Finding the Fourth Proportional to 165,223.26, 247,835.16 and 65,406.96

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Solution

The fourth proportional to 165,223.26, 247,835.16 and 65,406.96 is: 98,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,223.26 : 247,835.16 = 65,406.96 : x
  2. Step 2: Convert to fraction form
    165,223.26/247,835.16 = 65,406.96/x
  3. Step 3: Cross multiply
    165,223.26x = 247,835.16 × 65,406.96
  4. Step 4: Simplify right side
    165,223.26x = 16,210,144,396.71
  5. Step 5: Solve for x
    x = 16,210,144,396.71/165,223.26
  6. Step 6: Final answer
    x = 98,110.55

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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.