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Finding the Fourth Proportional to 202,983.12, 280,384.44 and 155,819.28

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Solution

The fourth proportional to 202,983.12, 280,384.44 and 155,819.28 is: 215,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.12 : 280,384.44 = 155,819.28 : x
  2. Step 2: Convert to fraction form
    202,983.12/280,384.44 = 155,819.28/x
  3. Step 3: Cross multiply
    202,983.12x = 280,384.44 × 155,819.28
  4. Step 4: Simplify right side
    202,983.12x = 43,689,301,564.00
  5. Step 5: Solve for x
    x = 43,689,301,564.00/202,983.12
  6. Step 6: Final answer
    x = 215,236.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.