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Finding the Fourth Proportional to 329,087, 454,140.06 and 178,184

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Solution

The fourth proportional to 329,087, 454,140.06 and 178,184 is: 245,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,087 : 454,140.06 = 178,184 : x
  2. Step 2: Convert to fraction form
    329,087/454,140.06 = 178,184/x
  3. Step 3: Cross multiply
    329,087x = 454,140.06 × 178,184
  4. Step 4: Simplify right side
    329,087x = 80,920,492,451.04
  5. Step 5: Solve for x
    x = 80,920,492,451.04/329,087
  6. Step 6: Final answer
    x = 245,893.92

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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.