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Finding the Fourth Proportional to 294,336, 406,183.68 and 160,200

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Solution

The fourth proportional to 294,336, 406,183.68 and 160,200 is: 221,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,336 : 406,183.68 = 160,200 : x
  2. Step 2: Convert to fraction form
    294,336/406,183.68 = 160,200/x
  3. Step 3: Cross multiply
    294,336x = 406,183.68 × 160,200
  4. Step 4: Simplify right side
    294,336x = 65,070,625,536
  5. Step 5: Solve for x
    x = 65,070,625,536/294,336
  6. Step 6: Final answer
    x = 221,076

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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.