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Finding the Fourth Proportional to 296,128.29, 408,655.76 and 160,162.37

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Solution

The fourth proportional to 296,128.29, 408,655.76 and 160,162.37 is: 221,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,128.29 : 408,655.76 = 160,162.37 : x
  2. Step 2: Convert to fraction form
    296,128.29/408,655.76 = 160,162.37/x
  3. Step 3: Cross multiply
    296,128.29x = 408,655.76 × 160,162.37
  4. Step 4: Simplify right side
    296,128.29x = 65,451,275,035.75
  5. Step 5: Solve for x
    x = 65,451,275,035.75/296,128.29
  6. Step 6: Final answer
    x = 221,023.38

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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.