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Finding the Fourth Proportional to 275,830.48, 413,747.16 and 109,618.96

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Solution

The fourth proportional to 275,830.48, 413,747.16 and 109,618.96 is: 164,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,830.48 : 413,747.16 = 109,618.96 : x
  2. Step 2: Convert to fraction form
    275,830.48/413,747.16 = 109,618.96/x
  3. Step 3: Cross multiply
    275,830.48x = 413,747.16 × 109,618.96
  4. Step 4: Simplify right side
    275,830.48x = 45,354,533,382.15
  5. Step 5: Solve for x
    x = 45,354,533,382.15/275,830.48
  6. Step 6: Final answer
    x = 164,429.01

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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.