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Finding the Fourth Proportional to 274,042.08, 411,056.88 and 126,298.08

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Solution

The fourth proportional to 274,042.08, 411,056.88 and 126,298.08 is: 189,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,042.08 : 411,056.88 = 126,298.08 : x
  2. Step 2: Convert to fraction form
    274,042.08/411,056.88 = 126,298.08/x
  3. Step 3: Cross multiply
    274,042.08x = 411,056.88 × 126,298.08
  4. Step 4: Simplify right side
    274,042.08x = 51,915,694,714.79
  5. Step 5: Solve for x
    x = 51,915,694,714.79/274,042.08
  6. Step 6: Final answer
    x = 189,444.24

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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.