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Finding the Fourth Proportional to 199,610.40, 275,472.72 and 114,735.36

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Solution

The fourth proportional to 199,610.40, 275,472.72 and 114,735.36 is: 158,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,610.40 : 275,472.72 = 114,735.36 : x
  2. Step 2: Convert to fraction form
    199,610.40/275,472.72 = 114,735.36/x
  3. Step 3: Cross multiply
    199,610.40x = 275,472.72 × 114,735.36
  4. Step 4: Simplify right side
    199,610.40x = 31,606,461,699.38
  5. Step 5: Solve for x
    x = 31,606,461,699.38/199,610.40
  6. Step 6: Final answer
    x = 158,340.76

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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.