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Finding the Fourth Proportional to 315,144, 472,720.12 and 104,781.94

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Solution

The fourth proportional to 315,144, 472,720.12 and 104,781.94 is: 157,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,144 : 472,720.12 = 104,781.94 : x
  2. Step 2: Convert to fraction form
    315,144/472,720.12 = 104,781.94/x
  3. Step 3: Cross multiply
    315,144x = 472,720.12 × 104,781.94
  4. Step 4: Simplify right side
    315,144x = 49,532,529,806.88
  5. Step 5: Solve for x
    x = 49,532,529,806.88/315,144
  6. Step 6: Final answer
    x = 157,174.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.