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Finding the Fourth Proportional to 273,227.30, 409,840.95 and 155,129.30

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Solution

The fourth proportional to 273,227.30, 409,840.95 and 155,129.30 is: 232,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,227.30 : 409,840.95 = 155,129.30 : x
  2. Step 2: Convert to fraction form
    273,227.30/409,840.95 = 155,129.30/x
  3. Step 3: Cross multiply
    273,227.30x = 409,840.95 × 155,129.30
  4. Step 4: Simplify right side
    273,227.30x = 63,578,339,684.84
  5. Step 5: Solve for x
    x = 63,578,339,684.84/273,227.30
  6. Step 6: Final answer
    x = 232,693.95

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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.