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Finding the Fourth Proportional to 274,587.25, 411,942.98 and 148,224.78

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Solution

The fourth proportional to 274,587.25, 411,942.98 and 148,224.78 is: 222,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,587.25 : 411,942.98 = 148,224.78 : x
  2. Step 2: Convert to fraction form
    274,587.25/411,942.98 = 148,224.78/x
  3. Step 3: Cross multiply
    274,587.25x = 411,942.98 × 148,224.78
  4. Step 4: Simplify right side
    274,587.25x = 61,060,157,038.64
  5. Step 5: Solve for x
    x = 61,060,157,038.64/274,587.25
  6. Step 6: Final answer
    x = 222,370.70

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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.