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Finding the Fourth Proportional to 132,959.94, 199,448.95 and 38,182.85

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Solution

The fourth proportional to 132,959.94, 199,448.95 and 38,182.85 is: 57,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,959.94 : 199,448.95 = 38,182.85 : x
  2. Step 2: Convert to fraction form
    132,959.94/199,448.95 = 38,182.85/x
  3. Step 3: Cross multiply
    132,959.94x = 199,448.95 × 38,182.85
  4. Step 4: Simplify right side
    132,959.94x = 7,615,529,340.51
  5. Step 5: Solve for x
    x = 7,615,529,340.51/132,959.94
  6. Step 6: Final answer
    x = 57,276.87

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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.