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Finding the Fourth Proportional to 230,299.44, 345,495.78 and 97,180.02

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Solution

The fourth proportional to 230,299.44, 345,495.78 and 97,180.02 is: 145,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,299.44 : 345,495.78 = 97,180.02 : x
  2. Step 2: Convert to fraction form
    230,299.44/345,495.78 = 97,180.02/x
  3. Step 3: Cross multiply
    230,299.44x = 345,495.78 × 97,180.02
  4. Step 4: Simplify right side
    230,299.44x = 33,575,286,810.32
  5. Step 5: Solve for x
    x = 33,575,286,810.32/230,299.44
  6. Step 6: Final answer
    x = 145,789.70

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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.