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Finding the Fourth Proportional to 329,025.38, 454,055.63 and 178,122.38

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Solution

The fourth proportional to 329,025.38, 454,055.63 and 178,122.38 is: 245,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,025.38 : 454,055.63 = 178,122.38 : x
  2. Step 2: Convert to fraction form
    329,025.38/454,055.63 = 178,122.38/x
  3. Step 3: Cross multiply
    329,025.38x = 454,055.63 × 178,122.38
  4. Step 4: Simplify right side
    329,025.38x = 80,877,466,307.11
  5. Step 5: Solve for x
    x = 80,877,466,307.11/329,025.38
  6. Step 6: Final answer
    x = 245,809.21

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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.