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Finding the Fourth Proportional to 150,435.48, 207,602.60 and 82,451

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Solution

The fourth proportional to 150,435.48, 207,602.60 and 82,451 is: 113,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435.48 : 207,602.60 = 82,451 : x
  2. Step 2: Convert to fraction form
    150,435.48/207,602.60 = 82,451/x
  3. Step 3: Cross multiply
    150,435.48x = 207,602.60 × 82,451
  4. Step 4: Simplify right side
    150,435.48x = 17,117,041,972.60
  5. Step 5: Solve for x
    x = 17,117,041,972.60/150,435.48
  6. Step 6: Final answer
    x = 113,783.28

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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.