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Finding the Fourth Proportional to 127,754.94, 176,112.79 and 81,809.72

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Solution

The fourth proportional to 127,754.94, 176,112.79 and 81,809.72 is: 112,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,754.94 : 176,112.79 = 81,809.72 : x
  2. Step 2: Convert to fraction form
    127,754.94/176,112.79 = 81,809.72/x
  3. Step 3: Cross multiply
    127,754.94x = 176,112.79 × 81,809.72
  4. Step 4: Simplify right side
    127,754.94x = 14,407,736,953.23
  5. Step 5: Solve for x
    x = 14,407,736,953.23/127,754.94
  6. Step 6: Final answer
    x = 112,776.36

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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.