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Finding the Fourth Proportional to 273,302.86, 409,760.70 and 121,416.52

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Solution

The fourth proportional to 273,302.86, 409,760.70 and 121,416.52 is: 182,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,302.86 : 409,760.70 = 121,416.52 : x
  2. Step 2: Convert to fraction form
    273,302.86/409,760.70 = 121,416.52/x
  3. Step 3: Cross multiply
    273,302.86x = 409,760.70 × 121,416.52
  4. Step 4: Simplify right side
    273,302.86x = 49,751,718,226.76
  5. Step 5: Solve for x
    x = 49,751,718,226.76/273,302.86
  6. Step 6: Final answer
    x = 182,038.78

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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.