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Finding the Fourth Proportional to 230,216.58, 345,371.85 and 97,096.59

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Solution

The fourth proportional to 230,216.58, 345,371.85 and 97,096.59 is: 145,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.58 : 345,371.85 = 97,096.59 : x
  2. Step 2: Convert to fraction form
    230,216.58/345,371.85 = 97,096.59/x
  3. Step 3: Cross multiply
    230,216.58x = 345,371.85 × 97,096.59
  4. Step 4: Simplify right side
    230,216.58x = 33,534,428,916.99
  5. Step 5: Solve for x
    x = 33,534,428,916.99/230,216.58
  6. Step 6: Final answer
    x = 145,664.70

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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.