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Finding the Fourth Proportional to 274,229.48, 411,196.59 and 147,937.52

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Solution

The fourth proportional to 274,229.48, 411,196.59 and 147,937.52 is: 221,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,229.48 : 411,196.59 = 147,937.52 : x
  2. Step 2: Convert to fraction form
    274,229.48/411,196.59 = 147,937.52/x
  3. Step 3: Cross multiply
    274,229.48x = 411,196.59 × 147,937.52
  4. Step 4: Simplify right side
    274,229.48x = 60,831,401,701.07
  5. Step 5: Solve for x
    x = 60,831,401,701.07/274,229.48
  6. Step 6: Final answer
    x = 221,826.64

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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.