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Finding the Fourth Proportional to 150,656, 207,905.12 and 82,673.36

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Solution

The fourth proportional to 150,656, 207,905.12 and 82,673.36 is: 114,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,656 : 207,905.12 = 82,673.36 : x
  2. Step 2: Convert to fraction form
    150,656/207,905.12 = 82,673.36/x
  3. Step 3: Cross multiply
    150,656x = 207,905.12 × 82,673.36
  4. Step 4: Simplify right side
    150,656x = 17,188,214,831.60
  5. Step 5: Solve for x
    x = 17,188,214,831.60/150,656
  6. Step 6: Final answer
    x = 114,089.15

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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.