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Finding the Fourth Proportional to 146,684.66, 202,390.13 and 83,022.46

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Solution

The fourth proportional to 146,684.66, 202,390.13 and 83,022.46 is: 114,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,684.66 : 202,390.13 = 83,022.46 : x
  2. Step 2: Convert to fraction form
    146,684.66/202,390.13 = 83,022.46/x
  3. Step 3: Cross multiply
    146,684.66x = 202,390.13 × 83,022.46
  4. Step 4: Simplify right side
    146,684.66x = 16,802,926,173.90
  5. Step 5: Solve for x
    x = 16,802,926,173.90/146,684.66
  6. Step 6: Final answer
    x = 114,551.35

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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.