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Finding the Fourth Proportional to 177,155.16, 265,687.32 and 52,467

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Solution

The fourth proportional to 177,155.16, 265,687.32 and 52,467 is: 78,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,155.16 : 265,687.32 = 52,467 : x
  2. Step 2: Convert to fraction form
    177,155.16/265,687.32 = 52,467/x
  3. Step 3: Cross multiply
    177,155.16x = 265,687.32 × 52,467
  4. Step 4: Simplify right side
    177,155.16x = 13,939,816,618.44
  5. Step 5: Solve for x
    x = 13,939,816,618.44/177,155.16
  6. Step 6: Final answer
    x = 78,687.05

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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.