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Finding the Fourth Proportional to 296,143.65, 408,676.89 and 160,177.27

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Solution

The fourth proportional to 296,143.65, 408,676.89 and 160,177.27 is: 221,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,143.65 : 408,676.89 = 160,177.27 : x
  2. Step 2: Convert to fraction form
    296,143.65/408,676.89 = 160,177.27/x
  3. Step 3: Cross multiply
    296,143.65x = 408,676.89 × 160,177.27
  4. Step 4: Simplify right side
    296,143.65x = 65,460,749,663.80
  5. Step 5: Solve for x
    x = 65,460,749,663.80/296,143.65
  6. Step 6: Final answer
    x = 221,043.91

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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.