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Finding the Fourth Proportional to 230,935.20, 346,354.20 and 97,819.80

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Solution

The fourth proportional to 230,935.20, 346,354.20 and 97,819.80 is: 146,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,935.20 : 346,354.20 = 97,819.80 : x
  2. Step 2: Convert to fraction form
    230,935.20/346,354.20 = 97,819.80/x
  3. Step 3: Cross multiply
    230,935.20x = 346,354.20 × 97,819.80
  4. Step 4: Simplify right side
    230,935.20x = 33,880,298,573.16
  5. Step 5: Solve for x
    x = 33,880,298,573.16/230,935.20
  6. Step 6: Final answer
    x = 146,709.11

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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.