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Finding the Fourth Proportional to 177,157.16, 265,690.32 and 52,469

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Solution

The fourth proportional to 177,157.16, 265,690.32 and 52,469 is: 78,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157.16 : 265,690.32 = 52,469 : x
  2. Step 2: Convert to fraction form
    177,157.16/265,690.32 = 52,469/x
  3. Step 3: Cross multiply
    177,157.16x = 265,690.32 × 52,469
  4. Step 4: Simplify right side
    177,157.16x = 13,940,505,400.08
  5. Step 5: Solve for x
    x = 13,940,505,400.08/177,157.16
  6. Step 6: Final answer
    x = 78,690.05

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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.