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Finding the Fourth Proportional to 177,147, 265,764.24 and 52,488

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Solution

The fourth proportional to 177,147, 265,764.24 and 52,488 is: 78,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,147 : 265,764.24 = 52,488 : x
  2. Step 2: Convert to fraction form
    177,147/265,764.24 = 52,488/x
  3. Step 3: Cross multiply
    177,147x = 265,764.24 × 52,488
  4. Step 4: Simplify right side
    177,147x = 13,949,433,429.12
  5. Step 5: Solve for x
    x = 13,949,433,429.12/177,147
  6. Step 6: Final answer
    x = 78,744.96

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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.