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Finding the Fourth Proportional to 167,057.09, 230,315.75 and 132,715.77

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Solution

The fourth proportional to 167,057.09, 230,315.75 and 132,715.77 is: 182,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,057.09 : 230,315.75 = 132,715.77 : x
  2. Step 2: Convert to fraction form
    167,057.09/230,315.75 = 132,715.77/x
  3. Step 3: Cross multiply
    167,057.09x = 230,315.75 × 132,715.77
  4. Step 4: Simplify right side
    167,057.09x = 30,566,531,284.59
  5. Step 5: Solve for x
    x = 30,566,531,284.59/167,057.09
  6. Step 6: Final answer
    x = 182,970.57

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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.