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Finding the Fourth Proportional to 230,638.11, 345,971.75 and 97,500.84

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Solution

The fourth proportional to 230,638.11, 345,971.75 and 97,500.84 is: 146,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,638.11 : 345,971.75 = 97,500.84 : x
  2. Step 2: Convert to fraction form
    230,638.11/345,971.75 = 97,500.84/x
  3. Step 3: Cross multiply
    230,638.11x = 345,971.75 × 97,500.84
  4. Step 4: Simplify right side
    230,638.11x = 33,732,535,753.77
  5. Step 5: Solve for x
    x = 33,732,535,753.77/230,638.11
  6. Step 6: Final answer
    x = 146,257.42

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1.5x scale

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.