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Finding the Fourth Proportional to 235,999.10, 353,609.85 and 201,007.10

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Solution

The fourth proportional to 235,999.10, 353,609.85 and 201,007.10 is: 301,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,999.10 : 353,609.85 = 201,007.10 : x
  2. Step 2: Convert to fraction form
    235,999.10/353,609.85 = 201,007.10/x
  3. Step 3: Cross multiply
    235,999.10x = 353,609.85 × 201,007.10
  4. Step 4: Simplify right side
    235,999.10x = 71,078,090,479.94
  5. Step 5: Solve for x
    x = 71,078,090,479.94/235,999.10
  6. Step 6: Final answer
    x = 301,179.50

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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.