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Finding the Fourth Proportional to 203,201.79, 280,390.71 and 112,535.38

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Solution

The fourth proportional to 203,201.79, 280,390.71 and 112,535.38 is: 155,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,201.79 : 280,390.71 = 112,535.38 : x
  2. Step 2: Convert to fraction form
    203,201.79/280,390.71 = 112,535.38/x
  3. Step 3: Cross multiply
    203,201.79x = 280,390.71 × 112,535.38
  4. Step 4: Simplify right side
    203,201.79x = 31,553,875,098.32
  5. Step 5: Solve for x
    x = 31,553,875,098.32/203,201.79
  6. Step 6: Final answer
    x = 155,283.45

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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.