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Finding the Fourth Proportional to 118,164.36, 176,830.20 and 73,812

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Solution

The fourth proportional to 118,164.36, 176,830.20 and 73,812 is: 110,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,164.36 : 176,830.20 = 73,812 : x
  2. Step 2: Convert to fraction form
    118,164.36/176,830.20 = 73,812/x
  3. Step 3: Cross multiply
    118,164.36x = 176,830.20 × 73,812
  4. Step 4: Simplify right side
    118,164.36x = 13,052,190,722.40
  5. Step 5: Solve for x
    x = 13,052,190,722.40/118,164.36
  6. Step 6: Final answer
    x = 110,457.93

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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.