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Finding the Fourth Proportional to 273,837.95, 410,795.80 and 84,314.07

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Solution

The fourth proportional to 273,837.95, 410,795.80 and 84,314.07 is: 126,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,837.95 : 410,795.80 = 84,314.07 : x
  2. Step 2: Convert to fraction form
    273,837.95/410,795.80 = 84,314.07/x
  3. Step 3: Cross multiply
    273,837.95x = 410,795.80 × 84,314.07
  4. Step 4: Simplify right side
    273,837.95x = 34,635,865,167.01
  5. Step 5: Solve for x
    x = 34,635,865,167.01/273,837.95
  6. Step 6: Final answer
    x = 126,483.07

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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.