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Finding the Fourth Proportional to 177,136.64, 265,768.32 and 75,892.16

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Solution

The fourth proportional to 177,136.64, 265,768.32 and 75,892.16 is: 113,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,136.64 : 265,768.32 = 75,892.16 : x
  2. Step 2: Convert to fraction form
    177,136.64/265,768.32 = 75,892.16/x
  3. Step 3: Cross multiply
    177,136.64x = 265,768.32 × 75,892.16
  4. Step 4: Simplify right side
    177,136.64x = 20,169,731,864.37
  5. Step 5: Solve for x
    x = 20,169,731,864.37/177,136.64
  6. Step 6: Final answer
    x = 113,865.39

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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.