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Finding the Fourth Proportional to 128,437.68, 177,315.24 and 77,463.27

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Solution

The fourth proportional to 128,437.68, 177,315.24 and 77,463.27 is: 106,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,437.68 : 177,315.24 = 77,463.27 : x
  2. Step 2: Convert to fraction form
    128,437.68/177,315.24 = 77,463.27/x
  3. Step 3: Cross multiply
    128,437.68x = 177,315.24 × 77,463.27
  4. Step 4: Simplify right side
    128,437.68x = 13,735,418,601.72
  5. Step 5: Solve for x
    x = 13,735,418,601.72/128,437.68
  6. Step 6: Final answer
    x = 106,942.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.