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Finding the Fourth Proportional to 382,027.56, 573,077.76 and 157,403.16

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Solution

The fourth proportional to 382,027.56, 573,077.76 and 157,403.16 is: 236,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,027.56 : 573,077.76 = 157,403.16 : x
  2. Step 2: Convert to fraction form
    382,027.56/573,077.76 = 157,403.16/x
  3. Step 3: Cross multiply
    382,027.56x = 573,077.76 × 157,403.16
  4. Step 4: Simplify right side
    382,027.56x = 90,204,250,349.72
  5. Step 5: Solve for x
    x = 90,204,250,349.72/382,027.56
  6. Step 6: Final answer
    x = 236,119.75

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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.