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Finding the Fourth Proportional to 202,829.80, 304,244.70 and 183,476.20

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Solution

The fourth proportional to 202,829.80, 304,244.70 and 183,476.20 is: 275,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,829.80 : 304,244.70 = 183,476.20 : x
  2. Step 2: Convert to fraction form
    202,829.80/304,244.70 = 183,476.20/x
  3. Step 3: Cross multiply
    202,829.80x = 304,244.70 × 183,476.20
  4. Step 4: Simplify right side
    202,829.80x = 55,821,661,426.14
  5. Step 5: Solve for x
    x = 55,821,661,426.14/202,829.80
  6. Step 6: Final answer
    x = 275,214.30

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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.