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Finding the Fourth Proportional to 127,711.77, 191,583.57 and 43,465.46

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Solution

The fourth proportional to 127,711.77, 191,583.57 and 43,465.46 is: 65,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711.77 : 191,583.57 = 43,465.46 : x
  2. Step 2: Convert to fraction form
    127,711.77/191,583.57 = 43,465.46/x
  3. Step 3: Cross multiply
    127,711.77x = 191,583.57 × 43,465.46
  4. Step 4: Simplify right side
    127,711.77x = 8,327,268,260.12
  5. Step 5: Solve for x
    x = 8,327,268,260.12/127,711.77
  6. Step 6: Final answer
    x = 65,203.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.