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Finding the Fourth Proportional to 329,111.22, 454,173.84 and 178,207.86

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Solution

The fourth proportional to 329,111.22, 454,173.84 and 178,207.86 is: 245,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,111.22 : 454,173.84 = 178,207.86 : x
  2. Step 2: Convert to fraction form
    329,111.22/454,173.84 = 178,207.86/x
  3. Step 3: Cross multiply
    329,111.22x = 454,173.84 × 178,207.86
  4. Step 4: Simplify right side
    329,111.22x = 80,937,348,094.38
  5. Step 5: Solve for x
    x = 80,937,348,094.38/329,111.22
  6. Step 6: Final answer
    x = 245,927.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.