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Finding the Fourth Proportional to 273,241.66, 409,889.82 and 83,699.84

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Solution

The fourth proportional to 273,241.66, 409,889.82 and 83,699.84 is: 125,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241.66 : 409,889.82 = 83,699.84 : x
  2. Step 2: Convert to fraction form
    273,241.66/409,889.82 = 83,699.84/x
  3. Step 3: Cross multiply
    273,241.66x = 409,889.82 × 83,699.84
  4. Step 4: Simplify right side
    273,241.66x = 34,307,712,351.63
  5. Step 5: Solve for x
    x = 34,307,712,351.63/273,241.66
  6. Step 6: Final answer
    x = 125,558.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.