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Finding the Fourth Proportional to 273,240.35, 409,887.86 and 83,698.53

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Solution

The fourth proportional to 273,240.35, 409,887.86 and 83,698.53 is: 125,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240.35 : 409,887.86 = 83,698.53 : x
  2. Step 2: Convert to fraction form
    273,240.35/409,887.86 = 83,698.53/x
  3. Step 3: Cross multiply
    273,240.35x = 409,887.86 × 83,698.53
  4. Step 4: Simplify right side
    273,240.35x = 34,307,012,167.70
  5. Step 5: Solve for x
    x = 34,307,012,167.70/273,240.35
  6. Step 6: Final answer
    x = 125,556.17

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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.