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Finding the Fourth Proportional to 282,490.76, 389,742.21 and 159,966.38

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Solution

The fourth proportional to 282,490.76, 389,742.21 and 159,966.38 is: 220,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,490.76 : 389,742.21 = 159,966.38 : x
  2. Step 2: Convert to fraction form
    282,490.76/389,742.21 = 159,966.38/x
  3. Step 3: Cross multiply
    282,490.76x = 389,742.21 × 159,966.38
  4. Step 4: Simplify right side
    282,490.76x = 62,345,648,518.19
  5. Step 5: Solve for x
    x = 62,345,648,518.19/282,490.76
  6. Step 6: Final answer
    x = 220,699.78

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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.