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Finding the Fourth Proportional to 315,181.56, 472,850.10 and 104,821.32

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Solution

The fourth proportional to 315,181.56, 472,850.10 and 104,821.32 is: 157,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,181.56 : 472,850.10 = 104,821.32 : x
  2. Step 2: Convert to fraction form
    315,181.56/472,850.10 = 104,821.32/x
  3. Step 3: Cross multiply
    315,181.56x = 472,850.10 × 104,821.32
  4. Step 4: Simplify right side
    315,181.56x = 49,564,771,644.13
  5. Step 5: Solve for x
    x = 49,564,771,644.13/315,181.56
  6. Step 6: Final answer
    x = 157,257.84

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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.