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Finding the Fourth Proportional to 96,131, 143,995.42 and 77,309.12

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Solution

The fourth proportional to 96,131, 143,995.42 and 77,309.12 is: 115,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,131 : 143,995.42 = 77,309.12 : x
  2. Step 2: Convert to fraction form
    96,131/143,995.42 = 77,309.12/x
  3. Step 3: Cross multiply
    96,131x = 143,995.42 × 77,309.12
  4. Step 4: Simplify right side
    96,131x = 11,132,159,204.23
  5. Step 5: Solve for x
    x = 11,132,159,204.23/96,131
  6. Step 6: Final answer
    x = 115,801.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.