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Finding the Fourth Proportional to 273,263.85, 409,908.06 and 83,710.38

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Solution

The fourth proportional to 273,263.85, 409,908.06 and 83,710.38 is: 125,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,263.85 : 409,908.06 = 83,710.38 : x
  2. Step 2: Convert to fraction form
    273,263.85/409,908.06 = 83,710.38/x
  3. Step 3: Cross multiply
    273,263.85x = 409,908.06 × 83,710.38
  4. Step 4: Simplify right side
    273,263.85x = 34,313,559,467.66
  5. Step 5: Solve for x
    x = 34,313,559,467.66/273,263.85
  6. Step 6: Final answer
    x = 125,569.33

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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.