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Finding the Fourth Proportional to 273,126.86, 409,750.43 and 83,588.68

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Solution

The fourth proportional to 273,126.86, 409,750.43 and 83,588.68 is: 125,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,126.86 : 409,750.43 = 83,588.68 : x
  2. Step 2: Convert to fraction form
    273,126.86/409,750.43 = 83,588.68/x
  3. Step 3: Cross multiply
    273,126.86x = 409,750.43 × 83,588.68
  4. Step 4: Simplify right side
    273,126.86x = 34,250,496,130.81
  5. Step 5: Solve for x
    x = 34,250,496,130.81/273,126.86
  6. Step 6: Final answer
    x = 125,401.42

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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.