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Finding the Fourth Proportional to 216,411.27, 326,094.09 and 177,832.59

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Solution

The fourth proportional to 216,411.27, 326,094.09 and 177,832.59 is: 267,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,411.27 : 326,094.09 = 177,832.59 : x
  2. Step 2: Convert to fraction form
    216,411.27/326,094.09 = 177,832.59/x
  3. Step 3: Cross multiply
    216,411.27x = 326,094.09 × 177,832.59
  4. Step 4: Simplify right side
    216,411.27x = 57,990,156,608.39
  5. Step 5: Solve for x
    x = 57,990,156,608.39/216,411.27
  6. Step 6: Final answer
    x = 267,962.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.