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Finding the Fourth Proportional to 273,259.85, 409,893.95 and 123,395.68

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Solution

The fourth proportional to 273,259.85, 409,893.95 and 123,395.68 is: 185,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,259.85 : 409,893.95 = 123,395.68 : x
  2. Step 2: Convert to fraction form
    273,259.85/409,893.95 = 123,395.68/x
  3. Step 3: Cross multiply
    273,259.85x = 409,893.95 × 123,395.68
  4. Step 4: Simplify right side
    273,259.85x = 50,579,141,971.89
  5. Step 5: Solve for x
    x = 50,579,141,971.89/273,259.85
  6. Step 6: Final answer
    x = 185,095.40

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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.