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Finding the Fourth Proportional to 202,713.64, 303,742.14 and 123,588.52

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Solution

The fourth proportional to 202,713.64, 303,742.14 and 123,588.52 is: 185,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,713.64 : 303,742.14 = 123,588.52 : x
  2. Step 2: Convert to fraction form
    202,713.64/303,742.14 = 123,588.52/x
  3. Step 3: Cross multiply
    202,713.64x = 303,742.14 × 123,588.52
  4. Step 4: Simplify right side
    202,713.64x = 37,539,041,544.23
  5. Step 5: Solve for x
    x = 37,539,041,544.23/202,713.64
  6. Step 6: Final answer
    x = 185,182.61

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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.