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Finding the Fourth Proportional to 306,740.22, 460,103.59 and 82,100.64

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Solution

The fourth proportional to 306,740.22, 460,103.59 and 82,100.64 is: 123,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,740.22 : 460,103.59 = 82,100.64 : x
  2. Step 2: Convert to fraction form
    306,740.22/460,103.59 = 82,100.64/x
  3. Step 3: Cross multiply
    306,740.22x = 460,103.59 × 82,100.64
  4. Step 4: Simplify right side
    306,740.22x = 37,774,799,205.30
  5. Step 5: Solve for x
    x = 37,774,799,205.30/306,740.22
  6. Step 6: Final answer
    x = 123,149.16

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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.