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Finding the Fourth Proportional to 273,265.50, 409,898.25 and 86,277

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Solution

The fourth proportional to 273,265.50, 409,898.25 and 86,277 is: 129,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,265.50 : 409,898.25 = 86,277 : x
  2. Step 2: Convert to fraction form
    273,265.50/409,898.25 = 86,277/x
  3. Step 3: Cross multiply
    273,265.50x = 409,898.25 × 86,277
  4. Step 4: Simplify right side
    273,265.50x = 35,364,791,315.25
  5. Step 5: Solve for x
    x = 35,364,791,315.25/273,265.50
  6. Step 6: Final answer
    x = 129,415.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.