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Finding the Fourth Proportional to 230,640.16, 345,974.84 and 97,495.60

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Solution

The fourth proportional to 230,640.16, 345,974.84 and 97,495.60 is: 146,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,640.16 : 345,974.84 = 97,495.60 : x
  2. Step 2: Convert to fraction form
    230,640.16/345,974.84 = 97,495.60/x
  3. Step 3: Cross multiply
    230,640.16x = 345,974.84 × 97,495.60
  4. Step 4: Simplify right side
    230,640.16x = 33,731,024,610.70
  5. Step 5: Solve for x
    x = 33,731,024,610.70/230,640.16
  6. Step 6: Final answer
    x = 146,249.57

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1.5x scale

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.