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Finding the Fourth Proportional to 203,207.28, 280,428.28 and 112,564.60

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Solution

The fourth proportional to 203,207.28, 280,428.28 and 112,564.60 is: 155,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,207.28 : 280,428.28 = 112,564.60 : x
  2. Step 2: Convert to fraction form
    203,207.28/280,428.28 = 112,564.60/x
  3. Step 3: Cross multiply
    203,207.28x = 280,428.28 × 112,564.60
  4. Step 4: Simplify right side
    203,207.28x = 31,566,297,166.89
  5. Step 5: Solve for x
    x = 31,566,297,166.89/203,207.28
  6. Step 6: Final answer
    x = 155,340.39

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Why These Related Problems?

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