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Finding the Fourth Proportional to 273,501.80, 410,675.10 and 149,085.80

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Solution

The fourth proportional to 273,501.80, 410,675.10 and 149,085.80 is: 223,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,501.80 : 410,675.10 = 149,085.80 : x
  2. Step 2: Convert to fraction form
    273,501.80/410,675.10 = 149,085.80/x
  3. Step 3: Cross multiply
    273,501.80x = 410,675.10 × 149,085.80
  4. Step 4: Simplify right side
    273,501.80x = 61,225,825,823.58
  5. Step 5: Solve for x
    x = 61,225,825,823.58/273,501.80
  6. Step 6: Final answer
    x = 223,858.95

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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.