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Finding the Fourth Proportional to 114,362.81, 157,826.75 and 63,381.11

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Solution

The fourth proportional to 114,362.81, 157,826.75 and 63,381.11 is: 87,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.81 : 157,826.75 = 63,381.11 : x
  2. Step 2: Convert to fraction form
    114,362.81/157,826.75 = 63,381.11/x
  3. Step 3: Cross multiply
    114,362.81x = 157,826.75 × 63,381.11
  4. Step 4: Simplify right side
    114,362.81x = 10,003,233,496.65
  5. Step 5: Solve for x
    x = 10,003,233,496.65/114,362.81
  6. Step 6: Final answer
    x = 87,469.29

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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.