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Finding the Fourth Proportional to 113,997, 157,315.44 and 63,696

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Solution

The fourth proportional to 113,997, 157,315.44 and 63,696 is: 87,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,997 : 157,315.44 = 63,696 : x
  2. Step 2: Convert to fraction form
    113,997/157,315.44 = 63,696/x
  3. Step 3: Cross multiply
    113,997x = 157,315.44 × 63,696
  4. Step 4: Simplify right side
    113,997x = 10,020,364,266.24
  5. Step 5: Solve for x
    x = 10,020,364,266.24/113,997
  6. Step 6: Final answer
    x = 87,900.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.