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Finding the Fourth Proportional to 381,804.12, 572,662.44 and 101,343.24

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Solution

The fourth proportional to 381,804.12, 572,662.44 and 101,343.24 is: 152,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,804.12 : 572,662.44 = 101,343.24 : x
  2. Step 2: Convert to fraction form
    381,804.12/572,662.44 = 101,343.24/x
  3. Step 3: Cross multiply
    381,804.12x = 572,662.44 × 101,343.24
  4. Step 4: Simplify right side
    381,804.12x = 58,035,467,095.91
  5. Step 5: Solve for x
    x = 58,035,467,095.91/381,804.12
  6. Step 6: Final answer
    x = 152,003.25

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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.