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Finding the Fourth Proportional to 281,685.54, 389,098.71 and 209,941.01

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Solution

The fourth proportional to 281,685.54, 389,098.71 and 209,941.01 is: 289,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,685.54 : 389,098.71 = 209,941.01 : x
  2. Step 2: Convert to fraction form
    281,685.54/389,098.71 = 209,941.01/x
  3. Step 3: Cross multiply
    281,685.54x = 389,098.71 × 209,941.01
  4. Step 4: Simplify right side
    281,685.54x = 81,687,774,221.60
  5. Step 5: Solve for x
    x = 81,687,774,221.60/281,685.54
  6. Step 6: Final answer
    x = 289,996.33

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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.