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Finding the Fourth Proportional to 294,241, 406,059.06 and 160,105

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Solution

The fourth proportional to 294,241, 406,059.06 and 160,105 is: 220,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,241 : 406,059.06 = 160,105 : x
  2. Step 2: Convert to fraction form
    294,241/406,059.06 = 160,105/x
  3. Step 3: Cross multiply
    294,241x = 406,059.06 × 160,105
  4. Step 4: Simplify right side
    294,241x = 65,012,085,801.30
  5. Step 5: Solve for x
    x = 65,012,085,801.30/294,241
  6. Step 6: Final answer
    x = 220,948.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.