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Finding the Fourth Proportional to 230,680.90, 345,917.26 and 97,492.60

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Solution

The fourth proportional to 230,680.90, 345,917.26 and 97,492.60 is: 146,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,680.90 : 345,917.26 = 97,492.60 : x
  2. Step 2: Convert to fraction form
    230,680.90/345,917.26 = 97,492.60/x
  3. Step 3: Cross multiply
    230,680.90x = 345,917.26 × 97,492.60
  4. Step 4: Simplify right side
    230,680.90x = 33,724,373,062.28
  5. Step 5: Solve for x
    x = 33,724,373,062.28/230,680.90
  6. Step 6: Final answer
    x = 146,194.91

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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.