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Finding the Fourth Proportional to 117,564.40, 176,346.60 and 115,814.80

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Solution

The fourth proportional to 117,564.40, 176,346.60 and 115,814.80 is: 173,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564.40 : 176,346.60 = 115,814.80 : x
  2. Step 2: Convert to fraction form
    117,564.40/176,346.60 = 115,814.80/x
  3. Step 3: Cross multiply
    117,564.40x = 176,346.60 × 115,814.80
  4. Step 4: Simplify right side
    117,564.40x = 20,423,546,209.68
  5. Step 5: Solve for x
    x = 20,423,546,209.68/117,564.40
  6. Step 6: Final answer
    x = 173,722.20

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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.