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Finding the Fourth Proportional to 382,019.92, 573,029.26 and 101,537.17

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Solution

The fourth proportional to 382,019.92, 573,029.26 and 101,537.17 is: 152,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,019.92 : 573,029.26 = 101,537.17 : x
  2. Step 2: Convert to fraction form
    382,019.92/573,029.26 = 101,537.17/x
  3. Step 3: Cross multiply
    382,019.92x = 573,029.26 × 101,537.17
  4. Step 4: Simplify right side
    382,019.92x = 58,183,767,701.18
  5. Step 5: Solve for x
    x = 58,183,767,701.18/382,019.92
  6. Step 6: Final answer
    x = 152,305.59

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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.