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Finding the Fourth Proportional to 239,230.96, 358,578.24 and 97,043.20

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Solution

The fourth proportional to 239,230.96, 358,578.24 and 97,043.20 is: 145,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,230.96 : 358,578.24 = 97,043.20 : x
  2. Step 2: Convert to fraction form
    239,230.96/358,578.24 = 97,043.20/x
  3. Step 3: Cross multiply
    239,230.96x = 358,578.24 × 97,043.20
  4. Step 4: Simplify right side
    239,230.96x = 34,797,579,859.97
  5. Step 5: Solve for x
    x = 34,797,579,859.97/239,230.96
  6. Step 6: Final answer
    x = 145,456.01

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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.