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Finding the Fourth Proportional to 104,196, 156,319.92 and 30,324

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Solution

The fourth proportional to 104,196, 156,319.92 and 30,324 is: 45,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,196 : 156,319.92 = 30,324 : x
  2. Step 2: Convert to fraction form
    104,196/156,319.92 = 30,324/x
  3. Step 3: Cross multiply
    104,196x = 156,319.92 × 30,324
  4. Step 4: Simplify right side
    104,196x = 4,740,245,254.08
  5. Step 5: Solve for x
    x = 4,740,245,254.08/104,196
  6. Step 6: Final answer
    x = 45,493.54

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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.