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Finding the Fourth Proportional to 200,890.31, 301,335.44 and 156,550.23

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Solution

The fourth proportional to 200,890.31, 301,335.44 and 156,550.23 is: 234,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.31 : 301,335.44 = 156,550.23 : x
  2. Step 2: Convert to fraction form
    200,890.31/301,335.44 = 156,550.23/x
  3. Step 3: Cross multiply
    200,890.31x = 301,335.44 × 156,550.23
  4. Step 4: Simplify right side
    200,890.31x = 47,174,131,656.40
  5. Step 5: Solve for x
    x = 47,174,131,656.40/200,890.31
  6. Step 6: Final answer
    x = 234,825.33

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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.