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Finding the Fourth Proportional to 114,031.40, 157,324.80 and 73,796

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Solution

The fourth proportional to 114,031.40, 157,324.80 and 73,796 is: 101,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031.40 : 157,324.80 = 73,796 : x
  2. Step 2: Convert to fraction form
    114,031.40/157,324.80 = 73,796/x
  3. Step 3: Cross multiply
    114,031.40x = 157,324.80 × 73,796
  4. Step 4: Simplify right side
    114,031.40x = 11,609,940,940.80
  5. Step 5: Solve for x
    x = 11,609,940,940.80/114,031.40
  6. Step 6: Final answer
    x = 101,813.54

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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.