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Finding the Fourth Proportional to 116,164.60, 173,858.10 and 102,167.80

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Solution

The fourth proportional to 116,164.60, 173,858.10 and 102,167.80 is: 152,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,164.60 : 173,858.10 = 102,167.80 : x
  2. Step 2: Convert to fraction form
    116,164.60/173,858.10 = 102,167.80/x
  3. Step 3: Cross multiply
    116,164.60x = 173,858.10 × 102,167.80
  4. Step 4: Simplify right side
    116,164.60x = 17,762,699,589.18
  5. Step 5: Solve for x
    x = 17,762,699,589.18/116,164.60
  6. Step 6: Final answer
    x = 152,909.75

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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.