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Finding the Fourth Proportional to 177,268.54, 265,902.68 and 52,609.54

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Solution

The fourth proportional to 177,268.54, 265,902.68 and 52,609.54 is: 78,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,268.54 : 265,902.68 = 52,609.54 : x
  2. Step 2: Convert to fraction form
    177,268.54/265,902.68 = 52,609.54/x
  3. Step 3: Cross multiply
    177,268.54x = 265,902.68 × 52,609.54
  4. Step 4: Simplify right side
    177,268.54x = 13,989,017,416.52
  5. Step 5: Solve for x
    x = 13,989,017,416.52/177,268.54
  6. Step 6: Final answer
    x = 78,914.27

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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.