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Finding the Fourth Proportional to 202,382.80, 303,574.20 and 109,070.80

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Solution

The fourth proportional to 202,382.80, 303,574.20 and 109,070.80 is: 163,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.80 : 303,574.20 = 109,070.80 : x
  2. Step 2: Convert to fraction form
    202,382.80/303,574.20 = 109,070.80/x
  3. Step 3: Cross multiply
    202,382.80x = 303,574.20 × 109,070.80
  4. Step 4: Simplify right side
    202,382.80x = 33,111,080,853.36
  5. Step 5: Solve for x
    x = 33,111,080,853.36/202,382.80
  6. Step 6: Final answer
    x = 163,606.20

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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.