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Finding the Fourth Proportional to 203,208.75, 280,417.95 and 111,328.38

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Solution

The fourth proportional to 203,208.75, 280,417.95 and 111,328.38 is: 153,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.75 : 280,417.95 = 111,328.38 : x
  2. Step 2: Convert to fraction form
    203,208.75/280,417.95 = 111,328.38/x
  3. Step 3: Cross multiply
    203,208.75x = 280,417.95 × 111,328.38
  4. Step 4: Simplify right side
    203,208.75x = 31,218,476,096.42
  5. Step 5: Solve for x
    x = 31,218,476,096.42/203,208.75
  6. Step 6: Final answer
    x = 153,627.62

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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.