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Finding the Fourth Proportional to 247,714.68, 371,476.94 and 105,469.77

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Solution

The fourth proportional to 247,714.68, 371,476.94 and 105,469.77 is: 158,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,714.68 : 371,476.94 = 105,469.77 : x
  2. Step 2: Convert to fraction form
    247,714.68/371,476.94 = 105,469.77/x
  3. Step 3: Cross multiply
    247,714.68x = 371,476.94 × 105,469.77
  4. Step 4: Simplify right side
    247,714.68x = 39,179,586,894.76
  5. Step 5: Solve for x
    x = 39,179,586,894.76/247,714.68
  6. Step 6: Final answer
    x = 158,164.17

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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.