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Finding the Fourth Proportional to 202,538.31, 303,619.65 and 69,386.93

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Solution

The fourth proportional to 202,538.31, 303,619.65 and 69,386.93 is: 104,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.31 : 303,619.65 = 69,386.93 : x
  2. Step 2: Convert to fraction form
    202,538.31/303,619.65 = 69,386.93/x
  3. Step 3: Cross multiply
    202,538.31x = 303,619.65 × 69,386.93
  4. Step 4: Simplify right side
    202,538.31x = 21,067,233,883.08
  5. Step 5: Solve for x
    x = 21,067,233,883.08/202,538.31
  6. Step 6: Final answer
    x = 104,016.04

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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.