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Finding the Fourth Proportional to 200,567.36, 300,859.36 and 165,441.60

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Solution

The fourth proportional to 200,567.36, 300,859.36 and 165,441.60 is: 248,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,567.36 : 300,859.36 = 165,441.60 : x
  2. Step 2: Convert to fraction form
    200,567.36/300,859.36 = 165,441.60/x
  3. Step 3: Cross multiply
    200,567.36x = 300,859.36 × 165,441.60
  4. Step 4: Simplify right side
    200,567.36x = 49,774,653,893.38
  5. Step 5: Solve for x
    x = 49,774,653,893.38/200,567.36
  6. Step 6: Final answer
    x = 248,169.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.