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Finding the Fourth Proportional to 203,200.79, 280,389.33 and 112,534.38

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Solution

The fourth proportional to 203,200.79, 280,389.33 and 112,534.38 is: 155,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.79 : 280,389.33 = 112,534.38 : x
  2. Step 2: Convert to fraction form
    203,200.79/280,389.33 = 112,534.38/x
  3. Step 3: Cross multiply
    203,200.79x = 280,389.33 × 112,534.38
  4. Step 4: Simplify right side
    203,200.79x = 31,553,439,410.17
  5. Step 5: Solve for x
    x = 31,553,439,410.17/203,200.79
  6. Step 6: Final answer
    x = 155,282.07

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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.