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Finding the Fourth Proportional to 329,103, 454,165.38 and 178,203.24

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Solution

The fourth proportional to 329,103, 454,165.38 and 178,203.24 is: 245,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,103 : 454,165.38 = 178,203.24 : x
  2. Step 2: Convert to fraction form
    329,103/454,165.38 = 178,203.24/x
  3. Step 3: Cross multiply
    329,103x = 454,165.38 × 178,203.24
  4. Step 4: Simplify right side
    329,103x = 80,933,742,211.83
  5. Step 5: Solve for x
    x = 80,933,742,211.83/329,103
  6. Step 6: Final answer
    x = 245,922.23

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1.5x scale

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.