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Finding the Fourth Proportional to 128,576.38, 177,441.82 and 77,588.27

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Solution

The fourth proportional to 128,576.38, 177,441.82 and 77,588.27 is: 107,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576.38 : 177,441.82 = 77,588.27 : x
  2. Step 2: Convert to fraction form
    128,576.38/177,441.82 = 77,588.27/x
  3. Step 3: Cross multiply
    128,576.38x = 177,441.82 × 77,588.27
  4. Step 4: Simplify right side
    128,576.38x = 13,767,403,201.43
  5. Step 5: Solve for x
    x = 13,767,403,201.43/128,576.38
  6. Step 6: Final answer
    x = 107,075.68

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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.