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Finding the Fourth Proportional to 117,142.86, 175,786.48 and 46,053

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Solution

The fourth proportional to 117,142.86, 175,786.48 and 46,053 is: 69,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,142.86 : 175,786.48 = 46,053 : x
  2. Step 2: Convert to fraction form
    117,142.86/175,786.48 = 46,053/x
  3. Step 3: Cross multiply
    117,142.86x = 175,786.48 × 46,053
  4. Step 4: Simplify right side
    117,142.86x = 8,095,494,763.44
  5. Step 5: Solve for x
    x = 8,095,494,763.44/117,142.86
  6. Step 6: Final answer
    x = 69,107.88

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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.