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Finding the Fourth Proportional to 230,161.92, 345,213.60 and 97,095.04

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Solution

The fourth proportional to 230,161.92, 345,213.60 and 97,095.04 is: 145,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,161.92 : 345,213.60 = 97,095.04 : x
  2. Step 2: Convert to fraction form
    230,161.92/345,213.60 = 97,095.04/x
  3. Step 3: Cross multiply
    230,161.92x = 345,213.60 × 97,095.04
  4. Step 4: Simplify right side
    230,161.92x = 33,518,528,300.54
  5. Step 5: Solve for x
    x = 33,518,528,300.54/230,161.92
  6. Step 6: Final answer
    x = 145,630.21

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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.