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Finding the Fourth Proportional to 146,458.38, 202,121.28 and 82,802.10

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Solution

The fourth proportional to 146,458.38, 202,121.28 and 82,802.10 is: 114,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,458.38 : 202,121.28 = 82,802.10 : x
  2. Step 2: Convert to fraction form
    146,458.38/202,121.28 = 82,802.10/x
  3. Step 3: Cross multiply
    146,458.38x = 202,121.28 × 82,802.10
  4. Step 4: Simplify right side
    146,458.38x = 16,736,066,438.69
  5. Step 5: Solve for x
    x = 16,736,066,438.69/146,458.38
  6. Step 6: Final answer
    x = 114,271.83

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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.