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Finding the Fourth Proportional to 202,541.40, 303,812.10 and 163,175.40

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Solution

The fourth proportional to 202,541.40, 303,812.10 and 163,175.40 is: 244,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,541.40 : 303,812.10 = 163,175.40 : x
  2. Step 2: Convert to fraction form
    202,541.40/303,812.10 = 163,175.40/x
  3. Step 3: Cross multiply
    202,541.40x = 303,812.10 × 163,175.40
  4. Step 4: Simplify right side
    202,541.40x = 49,574,660,942.34
  5. Step 5: Solve for x
    x = 49,574,660,942.34/202,541.40
  6. Step 6: Final answer
    x = 244,763.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.