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Finding the Fourth Proportional to 200,911.48, 301,367.26 and 156,571.40

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Solution

The fourth proportional to 200,911.48, 301,367.26 and 156,571.40 is: 234,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911.48 : 301,367.26 = 156,571.40 : x
  2. Step 2: Convert to fraction form
    200,911.48/301,367.26 = 156,571.40/x
  3. Step 3: Cross multiply
    200,911.48x = 301,367.26 × 156,571.40
  4. Step 4: Simplify right side
    200,911.48x = 47,185,493,812.36
  5. Step 5: Solve for x
    x = 47,185,493,812.36/200,911.48
  6. Step 6: Final answer
    x = 234,857.13

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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.