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Finding the Fourth Proportional to 273,370.57, 410,115.93 and 83,856.94

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Solution

The fourth proportional to 273,370.57, 410,115.93 and 83,856.94 is: 125,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,370.57 : 410,115.93 = 83,856.94 : x
  2. Step 2: Convert to fraction form
    273,370.57/410,115.93 = 83,856.94/x
  3. Step 3: Cross multiply
    273,370.57x = 410,115.93 × 83,856.94
  4. Step 4: Simplify right side
    273,370.57x = 34,391,066,935.05
  5. Step 5: Solve for x
    x = 34,391,066,935.05/273,370.57
  6. Step 6: Final answer
    x = 125,803.84

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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.