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Finding the Fourth Proportional to 274,264.96, 411,054.92 and 132,083.74

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Solution

The fourth proportional to 274,264.96, 411,054.92 and 132,083.74 is: 197,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,264.96 : 411,054.92 = 132,083.74 : x
  2. Step 2: Convert to fraction form
    274,264.96/411,054.92 = 132,083.74/x
  3. Step 3: Cross multiply
    274,264.96x = 411,054.92 × 132,083.74
  4. Step 4: Simplify right side
    274,264.96x = 54,293,671,179.00
  5. Step 5: Solve for x
    x = 54,293,671,179.00/274,264.96
  6. Step 6: Final answer
    x = 197,960.66

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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.