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Finding the Fourth Proportional to 203,567.30, 280,917.42 and 117,523.38

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Solution

The fourth proportional to 203,567.30, 280,917.42 and 117,523.38 is: 162,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,567.30 : 280,917.42 = 117,523.38 : x
  2. Step 2: Convert to fraction form
    203,567.30/280,917.42 = 117,523.38/x
  3. Step 3: Cross multiply
    203,567.30x = 280,917.42 × 117,523.38
  4. Step 4: Simplify right side
    203,567.30x = 33,014,364,521.93
  5. Step 5: Solve for x
    x = 33,014,364,521.93/203,567.30
  6. Step 6: Final answer
    x = 162,179.11

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1.5x scale

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.