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Finding the Fourth Proportional to 174,909.84, 262,504.56 and 90,694

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Solution

The fourth proportional to 174,909.84, 262,504.56 and 90,694 is: 136,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,909.84 : 262,504.56 = 90,694 : x
  2. Step 2: Convert to fraction form
    174,909.84/262,504.56 = 90,694/x
  3. Step 3: Cross multiply
    174,909.84x = 262,504.56 × 90,694
  4. Step 4: Simplify right side
    174,909.84x = 23,807,588,564.64
  5. Step 5: Solve for x
    x = 23,807,588,564.64/174,909.84
  6. Step 6: Final answer
    x = 136,113.49

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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.