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Finding the Fourth Proportional to 313,029.09, 469,616.54 and 102,654.27

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Solution

The fourth proportional to 313,029.09, 469,616.54 and 102,654.27 is: 154,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,029.09 : 469,616.54 = 102,654.27 : x
  2. Step 2: Convert to fraction form
    313,029.09/469,616.54 = 102,654.27/x
  3. Step 3: Cross multiply
    313,029.09x = 469,616.54 × 102,654.27
  4. Step 4: Simplify right side
    313,029.09x = 48,208,142,580.35
  5. Step 5: Solve for x
    x = 48,208,142,580.35/313,029.09
  6. Step 6: Final answer
    x = 154,005.31

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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.