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Finding the Fourth Proportional to 118,114.32, 177,118.12 and 33,855.20

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Solution

The fourth proportional to 118,114.32, 177,118.12 and 33,855.20 is: 50,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,114.32 : 177,118.12 = 33,855.20 : x
  2. Step 2: Convert to fraction form
    118,114.32/177,118.12 = 33,855.20/x
  3. Step 3: Cross multiply
    118,114.32x = 177,118.12 × 33,855.20
  4. Step 4: Simplify right side
    118,114.32x = 5,996,369,376.22
  5. Step 5: Solve for x
    x = 5,996,369,376.22/118,114.32
  6. Step 6: Final answer
    x = 50,767.51

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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.