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Finding the Fourth Proportional to 296,201.22, 408,756.43 and 160,234.82

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Solution

The fourth proportional to 296,201.22, 408,756.43 and 160,234.82 is: 221,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,201.22 : 408,756.43 = 160,234.82 : x
  2. Step 2: Convert to fraction form
    296,201.22/408,756.43 = 160,234.82/x
  3. Step 3: Cross multiply
    296,201.22x = 408,756.43 × 160,234.82
  4. Step 4: Simplify right side
    296,201.22x = 65,497,014,918.32
  5. Step 5: Solve for x
    x = 65,497,014,918.32/296,201.22
  6. Step 6: Final answer
    x = 221,123.38

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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.