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Finding the Fourth Proportional to 180,465.16, 248,471.28 and 158,939.68

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Solution

The fourth proportional to 180,465.16, 248,471.28 and 158,939.68 is: 218,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,465.16 : 248,471.28 = 158,939.68 : x
  2. Step 2: Convert to fraction form
    180,465.16/248,471.28 = 158,939.68/x
  3. Step 3: Cross multiply
    180,465.16x = 248,471.28 × 158,939.68
  4. Step 4: Simplify right side
    180,465.16x = 39,491,945,732.39
  5. Step 5: Solve for x
    x = 39,491,945,732.39/180,465.16
  6. Step 6: Final answer
    x = 218,834.18

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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.