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Finding the Fourth Proportional to 273,893.80, 411,263.10 and 149,477.80

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Solution

The fourth proportional to 273,893.80, 411,263.10 and 149,477.80 is: 224,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,893.80 : 411,263.10 = 149,477.80 : x
  2. Step 2: Convert to fraction form
    273,893.80/411,263.10 = 149,477.80/x
  3. Step 3: Cross multiply
    273,893.80x = 411,263.10 × 149,477.80
  4. Step 4: Simplify right side
    273,893.80x = 61,474,703,409.18
  5. Step 5: Solve for x
    x = 61,474,703,409.18/273,893.80
  6. Step 6: Final answer
    x = 224,447.23

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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.