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Finding the Fourth Proportional to 132,709.75, 183,139.46 and 73,093.75

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Solution

The fourth proportional to 132,709.75, 183,139.46 and 73,093.75 is: 100,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709.75 : 183,139.46 = 73,093.75 : x
  2. Step 2: Convert to fraction form
    132,709.75/183,139.46 = 73,093.75/x
  3. Step 3: Cross multiply
    132,709.75x = 183,139.46 × 73,093.75
  4. Step 4: Simplify right side
    132,709.75x = 13,386,349,904.38
  5. Step 5: Solve for x
    x = 13,386,349,904.38/132,709.75
  6. Step 6: Final answer
    x = 100,869.38

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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.