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Finding the Fourth Proportional to 382,006.20, 573,009.30 and 101,523.45

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Solution

The fourth proportional to 382,006.20, 573,009.30 and 101,523.45 is: 152,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,006.20 : 573,009.30 = 101,523.45 : x
  2. Step 2: Convert to fraction form
    382,006.20/573,009.30 = 101,523.45/x
  3. Step 3: Cross multiply
    382,006.20x = 573,009.30 × 101,523.45
  4. Step 4: Simplify right side
    382,006.20x = 58,173,881,018.09
  5. Step 5: Solve for x
    x = 58,173,881,018.09/382,006.20
  6. Step 6: Final answer
    x = 152,285.18

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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.