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Finding the Fourth Proportional to 384,703.56, 577,099.08 and 132,003

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Solution

The fourth proportional to 384,703.56, 577,099.08 and 132,003 is: 198,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,703.56 : 577,099.08 = 132,003 : x
  2. Step 2: Convert to fraction form
    384,703.56/577,099.08 = 132,003/x
  3. Step 3: Cross multiply
    384,703.56x = 577,099.08 × 132,003
  4. Step 4: Simplify right side
    384,703.56x = 76,178,809,857.24
  5. Step 5: Solve for x
    x = 76,178,809,857.24/384,703.56
  6. Step 6: Final answer
    x = 198,019.51

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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.