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Finding the Fourth Proportional to 273,110.13, 409,384.53 and 104,584.77

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Solution

The fourth proportional to 273,110.13, 409,384.53 and 104,584.77 is: 156,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,110.13 : 409,384.53 = 104,584.77 : x
  2. Step 2: Convert to fraction form
    273,110.13/409,384.53 = 104,584.77/x
  3. Step 3: Cross multiply
    273,110.13x = 409,384.53 × 104,584.77
  4. Step 4: Simplify right side
    273,110.13x = 42,815,386,911.61
  5. Step 5: Solve for x
    x = 42,815,386,911.61/273,110.13
  6. Step 6: Final answer
    x = 156,769.68

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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.