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Finding the Fourth Proportional to 230,528.46, 345,709.50 and 97,419

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Solution

The fourth proportional to 230,528.46, 345,709.50 and 97,419 is: 146,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528.46 : 345,709.50 = 97,419 : x
  2. Step 2: Convert to fraction form
    230,528.46/345,709.50 = 97,419/x
  3. Step 3: Cross multiply
    230,528.46x = 345,709.50 × 97,419
  4. Step 4: Simplify right side
    230,528.46x = 33,678,673,780.50
  5. Step 5: Solve for x
    x = 33,678,673,780.50/230,528.46
  6. Step 6: Final answer
    x = 146,093.34

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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.