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Finding the Fourth Proportional to 273,383.94, 410,088.34 and 83,830.44

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Solution

The fourth proportional to 273,383.94, 410,088.34 and 83,830.44 is: 125,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,383.94 : 410,088.34 = 83,830.44 : x
  2. Step 2: Convert to fraction form
    273,383.94/410,088.34 = 83,830.44/x
  3. Step 3: Cross multiply
    273,383.94x = 410,088.34 × 83,830.44
  4. Step 4: Simplify right side
    273,383.94x = 34,377,885,981.07
  5. Step 5: Solve for x
    x = 34,377,885,981.07/273,383.94
  6. Step 6: Final answer
    x = 125,749.47

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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.