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Finding the Fourth Proportional to 113,996.92, 157,315.42 and 63,695.96

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Solution

The fourth proportional to 113,996.92, 157,315.42 and 63,695.96 is: 87,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,996.92 : 157,315.42 = 63,695.96 : x
  2. Step 2: Convert to fraction form
    113,996.92/157,315.42 = 63,695.96/x
  3. Step 3: Cross multiply
    113,996.92x = 157,315.42 × 63,695.96
  4. Step 4: Simplify right side
    113,996.92x = 10,020,356,699.70
  5. Step 5: Solve for x
    x = 10,020,356,699.70/113,996.92
  6. Step 6: Final answer
    x = 87,900.24

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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.