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Finding the Fourth Proportional to 132,715.65, 199,072.26 and 53,811.12

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Solution

The fourth proportional to 132,715.65, 199,072.26 and 53,811.12 is: 80,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,715.65 : 199,072.26 = 53,811.12 : x
  2. Step 2: Convert to fraction form
    132,715.65/199,072.26 = 53,811.12/x
  3. Step 3: Cross multiply
    132,715.65x = 199,072.26 × 53,811.12
  4. Step 4: Simplify right side
    132,715.65x = 10,712,301,271.53
  5. Step 5: Solve for x
    x = 10,712,301,271.53/132,715.65
  6. Step 6: Final answer
    x = 80,716.19

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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.