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Finding the Fourth Proportional to 128,411.92, 177,279.71 and 77,437.56

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Solution

The fourth proportional to 128,411.92, 177,279.71 and 77,437.56 is: 106,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,411.92 : 177,279.71 = 77,437.56 : x
  2. Step 2: Convert to fraction form
    128,411.92/177,279.71 = 77,437.56/x
  3. Step 3: Cross multiply
    128,411.92x = 177,279.71 × 77,437.56
  4. Step 4: Simplify right side
    128,411.92x = 13,728,107,293.51
  5. Step 5: Solve for x
    x = 13,728,107,293.51/128,411.92
  6. Step 6: Final answer
    x = 106,906.80

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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.