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Finding the Fourth Proportional to 268,959.50, 403,492.49 and 76,835.59

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Solution

The fourth proportional to 268,959.50, 403,492.49 and 76,835.59 is: 115,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,959.50 : 403,492.49 = 76,835.59 : x
  2. Step 2: Convert to fraction form
    268,959.50/403,492.49 = 76,835.59/x
  3. Step 3: Cross multiply
    268,959.50x = 403,492.49 × 76,835.59
  4. Step 4: Simplify right side
    268,959.50x = 31,002,583,529.72
  5. Step 5: Solve for x
    x = 31,002,583,529.72/268,959.50
  6. Step 6: Final answer
    x = 115,268.59

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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.