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Finding the Fourth Proportional to 118,288.20, 177,000.30 and 87,184.20

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Solution

The fourth proportional to 118,288.20, 177,000.30 and 87,184.20 is: 130,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,288.20 : 177,000.30 = 87,184.20 : x
  2. Step 2: Convert to fraction form
    118,288.20/177,000.30 = 87,184.20/x
  3. Step 3: Cross multiply
    118,288.20x = 177,000.30 × 87,184.20
  4. Step 4: Simplify right side
    118,288.20x = 15,431,629,555.26
  5. Step 5: Solve for x
    x = 15,431,629,555.26/118,288.20
  6. Step 6: Final answer
    x = 130,457.89

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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.