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Finding the Fourth Proportional to 274,256.30, 411,541.65 and 147,896.03

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Solution

The fourth proportional to 274,256.30, 411,541.65 and 147,896.03 is: 221,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,256.30 : 411,541.65 = 147,896.03 : x
  2. Step 2: Convert to fraction form
    274,256.30/411,541.65 = 147,896.03/x
  3. Step 3: Cross multiply
    274,256.30x = 411,541.65 × 147,896.03
  4. Step 4: Simplify right side
    274,256.30x = 60,865,374,156.94
  5. Step 5: Solve for x
    x = 60,865,374,156.94/274,256.30
  6. Step 6: Final answer
    x = 221,928.81

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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.