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Finding the Fourth Proportional to 273,985.34, 410,813.76 and 113,868.14

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Solution

The fourth proportional to 273,985.34, 410,813.76 and 113,868.14 is: 170,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,985.34 : 410,813.76 = 113,868.14 : x
  2. Step 2: Convert to fraction form
    273,985.34/410,813.76 = 113,868.14/x
  3. Step 3: Cross multiply
    273,985.34x = 410,813.76 × 113,868.14
  4. Step 4: Simplify right side
    273,985.34x = 46,778,598,737.61
  5. Step 5: Solve for x
    x = 46,778,598,737.61/273,985.34
  6. Step 6: Final answer
    x = 170,733.95

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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.