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Finding the Fourth Proportional to 131,121.54, 180,920.61 and 76,663.22

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Solution

The fourth proportional to 131,121.54, 180,920.61 and 76,663.22 is: 105,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121.54 : 180,920.61 = 76,663.22 : x
  2. Step 2: Convert to fraction form
    131,121.54/180,920.61 = 76,663.22/x
  3. Step 3: Cross multiply
    131,121.54x = 180,920.61 × 76,663.22
  4. Step 4: Simplify right side
    131,121.54x = 13,869,955,622.36
  5. Step 5: Solve for x
    x = 13,869,955,622.36/131,121.54
  6. Step 6: Final answer
    x = 105,779.38

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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.