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Finding the Fourth Proportional to 308,078.40, 461,917.80 and 130,537.20

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Solution

The fourth proportional to 308,078.40, 461,917.80 and 130,537.20 is: 195,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,078.40 : 461,917.80 = 130,537.20 : x
  2. Step 2: Convert to fraction form
    308,078.40/461,917.80 = 130,537.20/x
  3. Step 3: Cross multiply
    308,078.40x = 461,917.80 × 130,537.20
  4. Step 4: Simplify right side
    308,078.40x = 60,297,456,242.16
  5. Step 5: Solve for x
    x = 60,297,456,242.16/308,078.40
  6. Step 6: Final answer
    x = 195,721.14

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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.