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Finding the Fourth Proportional to 282,495.76, 389,749.10 and 159,971.38

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Solution

The fourth proportional to 282,495.76, 389,749.10 and 159,971.38 is: 220,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,495.76 : 389,749.10 = 159,971.38 : x
  2. Step 2: Convert to fraction form
    282,495.76/389,749.10 = 159,971.38/x
  3. Step 3: Cross multiply
    282,495.76x = 389,749.10 × 159,971.38
  4. Step 4: Simplify right side
    282,495.76x = 62,348,701,380.76
  5. Step 5: Solve for x
    x = 62,348,701,380.76/282,495.76
  6. Step 6: Final answer
    x = 220,706.68

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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.