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Finding the Fourth Proportional to 273,026.70, 409,602.25 and 83,513.82

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Solution

The fourth proportional to 273,026.70, 409,602.25 and 83,513.82 is: 125,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,026.70 : 409,602.25 = 83,513.82 : x
  2. Step 2: Convert to fraction form
    273,026.70/409,602.25 = 83,513.82/x
  3. Step 3: Cross multiply
    273,026.70x = 409,602.25 × 83,513.82
  4. Step 4: Simplify right side
    273,026.70x = 34,207,447,914.48
  5. Step 5: Solve for x
    x = 34,207,447,914.48/273,026.70
  6. Step 6: Final answer
    x = 125,289.75

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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.