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Finding the Fourth Proportional to 382,186.84, 573,293.20 and 101,704.36

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Solution

The fourth proportional to 382,186.84, 573,293.20 and 101,704.36 is: 152,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,186.84 : 573,293.20 = 101,704.36 : x
  2. Step 2: Convert to fraction form
    382,186.84/573,293.20 = 101,704.36/x
  3. Step 3: Cross multiply
    382,186.84x = 573,293.20 × 101,704.36
  4. Step 4: Simplify right side
    382,186.84x = 58,306,417,998.35
  5. Step 5: Solve for x
    x = 58,306,417,998.35/382,186.84
  6. Step 6: Final answer
    x = 152,559.98

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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.