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Finding the Fourth Proportional to 167,773.64, 251,477.96 and 83,596

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Solution

The fourth proportional to 167,773.64, 251,477.96 and 83,596 is: 125,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,773.64 : 251,477.96 = 83,596 : x
  2. Step 2: Convert to fraction form
    167,773.64/251,477.96 = 83,596/x
  3. Step 3: Cross multiply
    167,773.64x = 251,477.96 × 83,596
  4. Step 4: Simplify right side
    167,773.64x = 21,022,551,544.16
  5. Step 5: Solve for x
    x = 21,022,551,544.16/167,773.64
  6. Step 6: Final answer
    x = 125,303.07

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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.