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Finding the Fourth Proportional to 273,239.67, 409,886.83 and 83,697.84

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Solution

The fourth proportional to 273,239.67, 409,886.83 and 83,697.84 is: 125,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,239.67 : 409,886.83 = 83,697.84 : x
  2. Step 2: Convert to fraction form
    273,239.67/409,886.83 = 83,697.84/x
  3. Step 3: Cross multiply
    273,239.67x = 409,886.83 × 83,697.84
  4. Step 4: Simplify right side
    273,239.67x = 34,306,642,315.45
  5. Step 5: Solve for x
    x = 34,306,642,315.45/273,239.67
  6. Step 6: Final answer
    x = 125,555.13

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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.